Nonlinear bound states with prescribed angular momentum
We prove the existence of a class of orbitally stable bound state solutions to nonlinear Schrödinger equations with super-quadratic confinement in two and three spatial dimensions. These solutions are given by time-dependent rotations of a non-radially symmetric spatial profile which in itself is ob...
Saved in:
| Published in | Calculus of variations and partial differential equations Vol. 63; no. 1; p. 1 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.01.2024
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0944-2669 1432-0835 |
| DOI | 10.1007/s00526-023-02599-z |
Cover
| Abstract | We prove the existence of a class of orbitally stable bound state solutions to nonlinear Schrödinger equations with super-quadratic confinement in two and three spatial dimensions. These solutions are given by time-dependent rotations of a non-radially symmetric spatial profile which in itself is obtained via a doubly constrained energy minimization. One of the two constraints imposed is the total mass, while the other is given by the expectation value of the angular momentum around the
z
-axis. Our approach also allows for a new description of the set of minimizers subject to only a single mass constraint. |
|---|---|
| AbstractList | We prove the existence of a class of orbitally stable bound state solutions to nonlinear Schrödinger equations with super-quadratic confinement in two and three spatial dimensions. These solutions are given by time-dependent rotations of a non-radially symmetric spatial profile which in itself is obtained via a doubly constrained energy minimization. One of the two constraints imposed is the total mass, while the other is given by the expectation value of the angular momentum around the z-axis. Our approach also allows for a new description of the set of minimizers subject to only a single mass constraint. We prove the existence of a class of orbitally stable bound state solutions to nonlinear Schrödinger equations with super-quadratic confinement in two and three spatial dimensions. These solutions are given by time-dependent rotations of a non-radially symmetric spatial profile which in itself is obtained via a doubly constrained energy minimization. One of the two constraints imposed is the total mass, while the other is given by the expectation value of the angular momentum around the z -axis. Our approach also allows for a new description of the set of minimizers subject to only a single mass constraint. |
| ArticleNumber | 1 |
| Author | Sparber, Christof Shen, Xiaoan Nenciu, Irina |
| Author_xml | – sequence: 1 givenname: Irina surname: Nenciu fullname: Nenciu, Irina organization: Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Institute of Mathematics “Simion Stoilow” of the Romanian Academy – sequence: 2 givenname: Xiaoan orcidid: 0009-0005-8385-5366 surname: Shen fullname: Shen, Xiaoan email: xshen30@uic.edu organization: Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago – sequence: 3 givenname: Christof surname: Sparber fullname: Sparber, Christof organization: Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago |
| BookMark | eNp9kM1Lw0AQxRepYFv9BzwFPEdnP_IxRyl-gehFz8smmdSUZLfuJoj9612tIHjoYZjL-7038xZsZp0lxs45XHKA4ioAZCJPQcg4GWK6O2JzrqRIoZTZjM0BlUpFnuMJW4SwAeBZKdScFU_O9p0l45PKTbZJwmhGCslHN74lW0-h9l1FTWLseuqjaHAD2XEaTtlxa_pAZ797yV5vb15W9-nj893D6voxrSXHMcVKtG1BsjA5ImCLZDiiKVX0LPIWq7rg1KhM5pKykhqBXMiqVEUra1NhJZfsYu-79e59ojDqjZu8jZFaikwJEIAQVWKvqr0LwVOrt74bjP_UHPR3QXpfkI4F6Z-C9C5C5T-o7uLznbOjN11_GJV7NMQcuyb_d9UB6gtNQX1x |
| CitedBy_id | crossref_primary_10_1016_j_aml_2025_109508 |
| Cites_doi | 10.1007/PL00001512 10.1016/j.jde.2004.03.027 10.3934/krm.2013.6.1 10.1007/s00220-008-0455-z 10.3934/dcds.2012.32.703 10.1007/s00526-020-01863-w 10.1007/s00220-002-0695-2 10.1080/00018730802564122 10.1007/s00030-022-00820-0 10.1088/0305-4470/36/37/312 10.1007/s11005-018-01149-5 10.1103/RevModPhys.81.647 10.1137/050629392 10.1007/s00526-022-02320-6 10.1007/s00033-015-0501-6 10.1140/epjst/e2013-01767-5 10.1142/S0129055X21500045 10.1103/PhysRevA.61.043602 10.1007/s00032-014-0227-5 10.1063/1.2789557 10.1515/ans-2004-0407 |
| ContentType | Journal Article |
| Copyright | The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023. |
| Copyright_xml | – notice: The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. – notice: The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023. |
| DBID | AAYXX CITATION 3V. 7XB 88I 8AO 8FE 8FG 8FK ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ HCIFZ JQ2 K7- L6V M2P M7S P5Z P62 PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U |
| DOI | 10.1007/s00526-023-02599-z |
| DatabaseName | CrossRef ProQuest Central (Corporate) ProQuest Central (purchase pre-March 2016) Science Database (Alumni Edition) ProQuest Pharma Collection ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection Computer Science Database ProQuest Engineering Collection Science Database Engineering Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef Computer Science Database ProQuest Central Student Technology Collection ProQuest One Academic Middle East (New) ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Pharma Collection ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Engineering Collection Advanced Technologies & Aerospace Collection Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection ProQuest One Academic ProQuest Central (Alumni) ProQuest One Academic (New) |
| DatabaseTitleList | Computer Science Database |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1432-0835 |
| ExternalDocumentID | 10_1007_s00526_023_02599_z |
| GrantInformation_xml | – fundername: Simons Foundation grantid: 851720; 709025 funderid: http://dx.doi.org/10.13039/100000893 |
| GroupedDBID | -52 -5D -5G -BR -EM -Y2 -~C -~X .86 .VR 06D 0R~ 0VY 1N0 1SB 2.D 203 23N 28- 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDBF ABDZT ABECU ABFTV ABHLI ABHQN ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACGOD ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACZOJ ADHHG ADHIR ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFGCZ AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BAPOH BBWZM BDATZ BGNMA BSONS CAG COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EAD EAP EBLON EBS EIOEI EJD EMK EPL ESBYG ESX F5P FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS H13 HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I09 IHE IJ- IKXTQ ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ KDC KOV KOW LAS LLZTM M4Y MA- N2Q N9A NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM P19 P2P P9R PF0 PQQKQ PT4 PT5 Q2X QOK QOS R4E R89 R9I RHV RNI RNS ROL RPX RSV RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SDD SDH SDM SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TSG TSK TSV TUC TUS U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z45 Z7Z Z88 Z8T Z92 ZMTXR ZWQNP ~EX 88I AAPKM AAYXX ABBRH ABDBE ABFSG ABJCF ABRTQ ACSTC ADHKG AEZWR AFDZB AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP AMVHM ATHPR AYFIA BGLVJ CCPQU CITATION K7- M2P M7S PHGZM PHGZT PQGLB PTHSS 3V. 7XB 8AO 8FE 8FG 8FK ABUWG AFKRA ARAPS AZQEC BENPR DWQXO GNUQQ HCIFZ JQ2 L6V P62 PKEHL PQEST PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c319t-9b2ff7e37a69909f9ea199a84bed76f9bc71ed45363e58ed29123b847f3cab9b3 |
| IEDL.DBID | BENPR |
| ISSN | 0944-2669 |
| IngestDate | Sat Sep 27 04:20:40 EDT 2025 Wed Oct 01 05:10:54 EDT 2025 Thu Apr 24 23:09:12 EDT 2025 Fri Feb 21 02:41:28 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | 35B07 35B35 35Q41 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c319t-9b2ff7e37a69909f9ea199a84bed76f9bc71ed45363e58ed29123b847f3cab9b3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0009-0005-8385-5366 |
| PQID | 3254202090 |
| PQPubID | 32028 |
| ParticipantIDs | proquest_journals_3254202090 crossref_primary_10_1007_s00526_023_02599_z crossref_citationtrail_10_1007_s00526_023_02599_z springer_journals_10_1007_s00526_023_02599_z |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 20240100 2024-01-00 20240101 |
| PublicationDateYYYYMMDD | 2024-01-01 |
| PublicationDate_xml | – month: 1 year: 2024 text: 20240100 |
| PublicationDecade | 2020 |
| PublicationPlace | Berlin/Heidelberg |
| PublicationPlace_xml | – name: Berlin/Heidelberg – name: Heidelberg |
| PublicationTitle | Calculus of variations and partial differential equations |
| PublicationTitleAbbrev | Calc. Var |
| PublicationYear | 2024 |
| Publisher | Springer Berlin Heidelberg Springer Nature B.V |
| Publisher_xml | – name: Springer Berlin Heidelberg – name: Springer Nature B.V |
| References | Carles, Sparber (CR8) 2021; 33 Correggi, Rindler-Daller, Yngvason (CR11) 2007; 48 Seiringer (CR20) 2002; 229 Lewin, Rota Nodari (CR16) 2020; 59 Yajima, Zhang (CR22) 2004; 202 Carles (CR7) 2015; 66 Arbunich, Nenciu, Sparber (CR2) 2019; 109 Cooper (CR9) 2008; 57 Jeanjean, Lu (CR15) 2022; 61 Arora, Sparber (CR3) 2023; 30 Bao, Du, Zhang (CR5) 2006; 66 Correggi, Pinsker, Rougerie, Yngvason (CR10) 2013; 217 Lieb, Seiringer, Yngvason (CR18) 2000; 61 Hajaiej, Stuart (CR14) 2004; 4 Messiah (CR19) 1995 Seiringer (CR21) 2003; 36 Bru, Correggi, Pickl, Yngvason (CR6) 2008; 280 Fetter (CR12) 2009; 81 Hadj Selem, Hajaiej, Markowich, Trabelsi (CR13) 2014; 82 Antonelli, Marahrens, Sparber (CR1) 2012; 32 Lieb, Loss (CR17) 1997 Bao, Cai (CR4) 2013; 6 Zhang (CR23) 2000; 51 K Yajima (2599_CR22) 2004; 202 NR Cooper (2599_CR9) 2008; 57 P Antonelli (2599_CR1) 2012; 32 M Correggi (2599_CR10) 2013; 217 A Fetter (2599_CR12) 2009; 81 E Lieb (2599_CR17) 1997 M Correggi (2599_CR11) 2007; 48 AK Arora (2599_CR3) 2023; 30 L Jeanjean (2599_CR15) 2022; 61 J Zhang (2599_CR23) 2000; 51 H Hajaiej (2599_CR14) 2004; 4 W Bao (2599_CR5) 2006; 66 R Carles (2599_CR8) 2021; 33 J Arbunich (2599_CR2) 2019; 109 R Seiringer (2599_CR20) 2002; 229 R Seiringer (2599_CR21) 2003; 36 R Carles (2599_CR7) 2015; 66 M Lewin (2599_CR16) 2020; 59 W Bao (2599_CR4) 2013; 6 A Messiah (2599_CR19) 1995 JB Bru (2599_CR6) 2008; 280 EH Lieb (2599_CR18) 2000; 61 F Hadj Selem (2599_CR13) 2014; 82 |
| References_xml | – volume: 51 start-page: 498 issue: 3 year: 2000 end-page: 503 ident: CR23 article-title: Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials publication-title: Z. Angew. Math. Phys. doi: 10.1007/PL00001512 – volume: 202 start-page: 81 year: 2004 end-page: 110 ident: CR22 article-title: Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity publication-title: J. Differ. Equ. doi: 10.1016/j.jde.2004.03.027 – volume: 6 start-page: 1 issue: 1 year: 2013 end-page: 135 ident: CR4 article-title: Mathematical theory and numerical methods for Bose-Einstein condensation publication-title: Kinet. Relat. Models doi: 10.3934/krm.2013.6.1 – volume: 280 start-page: 517 year: 2008 end-page: 544 ident: CR6 article-title: The TF limit for rapidly rotating Bose gases in anharmonic traps publication-title: Commun. Math. Phys. doi: 10.1007/s00220-008-0455-z – volume: 32 start-page: 703 issue: 3 year: 2012 end-page: 715 ident: CR1 article-title: On the Cauchy problem for nonlinear Schrödinger equations with rotation publication-title: Discrete Contin. Dyn. Syst. doi: 10.3934/dcds.2012.32.703 – year: 1997 ident: CR17 publication-title: Analysis – volume: 59 start-page: 197 year: 2020 ident: CR16 article-title: The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications publication-title: Calc. Var. Partial Differ. Equ. doi: 10.1007/s00526-020-01863-w – volume: 229 start-page: 491 year: 2002 end-page: 509 ident: CR20 article-title: Gross-Pitaevskii theory of the rotating gas publication-title: Commun. Math. Phys. doi: 10.1007/s00220-002-0695-2 – volume: 57 start-page: 539 year: 2008 end-page: 616 ident: CR9 article-title: Rapidly rotating atomic gases publication-title: Adv. Phys. doi: 10.1080/00018730802564122 – volume: 30 start-page: 14 year: 2023 ident: CR3 article-title: Self-bound vortex states in nonlinear Schrödinger equations with LHY correction publication-title: NoDEA Nonlinear Differ. Equ. Appl. doi: 10.1007/s00030-022-00820-0 – volume: 36 start-page: 9755 year: 2003 end-page: 9778 ident: CR21 article-title: Ground state asymptotics of a dilute, rotating gas publication-title: J. Phys. A Math. Gen. doi: 10.1088/0305-4470/36/37/312 – volume: 109 start-page: 1415 issue: 6 year: 2019 end-page: 1432 ident: CR2 article-title: Stability and instability properties of rotating Bose-Einstein condensates publication-title: Lett. Math. Phys. doi: 10.1007/s11005-018-01149-5 – volume: 81 start-page: 647 year: 2009 ident: CR12 article-title: Rotating trapped Bose-Einstein condensates publication-title: Rev. Mod. Phys. doi: 10.1103/RevModPhys.81.647 – volume: 66 start-page: 758 year: 2006 end-page: 786 ident: CR5 article-title: Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation publication-title: SIAM J. Appl. Math. doi: 10.1137/050629392 – volume: 61 start-page: 214 year: 2022 ident: CR15 article-title: On global minimizers for a mass constrained problem publication-title: Calc. Var. Partial Differ. Equ. doi: 10.1007/s00526-022-02320-6 – volume: 66 start-page: 2087 issue: 4 year: 2015 end-page: 2094 ident: CR7 article-title: Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential publication-title: Z. Angew. Math. Phys. doi: 10.1007/s00033-015-0501-6 – volume: 217 start-page: 183 year: 2013 end-page: 188 ident: CR10 article-title: Giant vortex phase transition in rapidly rotating trapped Bose-Einstein condensates publication-title: Eur. Phys. J. Spec. Top. doi: 10.1140/epjst/e2013-01767-5 – volume: 33 start-page: 2150004 year: 2021 ident: CR8 article-title: Orbital stability vs. scattering in the cubic-quintic Schrödinger equation publication-title: Rev. Math. Phys. doi: 10.1142/S0129055X21500045 – volume: 61 start-page: 043602 year: 2000 ident: CR18 article-title: Bosons in a trap: a rigorous derivation of the gross-Pitaevskii energy functional publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.61.043602 – year: 1995 ident: CR19 publication-title: Quantum Mechanics – volume: 82 start-page: 273 year: 2014 end-page: 295 ident: CR13 article-title: Variational approach to the orbital stability of standing waves of the gross-Pitaevskii equation publication-title: Milan J. Math. doi: 10.1007/s00032-014-0227-5 – volume: 48 start-page: 102103 year: 2007 ident: CR11 article-title: Rapidly rotating Bose-Einstein condensates in homogeneous traps publication-title: J. Math. Phys. doi: 10.1063/1.2789557 – volume: 4 start-page: 469 year: 2004 end-page: 501 ident: CR14 article-title: On the variational approach to the stability of standing waves for the nonlinear Schrödinger equation publication-title: Adv. Nonlinear Stud. doi: 10.1515/ans-2004-0407 – volume: 51 start-page: 498 issue: 3 year: 2000 ident: 2599_CR23 publication-title: Z. Angew. Math. Phys. doi: 10.1007/PL00001512 – volume: 217 start-page: 183 year: 2013 ident: 2599_CR10 publication-title: Eur. Phys. J. Spec. Top. doi: 10.1140/epjst/e2013-01767-5 – volume: 109 start-page: 1415 issue: 6 year: 2019 ident: 2599_CR2 publication-title: Lett. Math. Phys. doi: 10.1007/s11005-018-01149-5 – volume: 61 start-page: 214 year: 2022 ident: 2599_CR15 publication-title: Calc. Var. Partial Differ. Equ. doi: 10.1007/s00526-022-02320-6 – volume: 57 start-page: 539 year: 2008 ident: 2599_CR9 publication-title: Adv. Phys. doi: 10.1080/00018730802564122 – volume-title: Quantum Mechanics year: 1995 ident: 2599_CR19 – volume: 30 start-page: 14 year: 2023 ident: 2599_CR3 publication-title: NoDEA Nonlinear Differ. Equ. Appl. doi: 10.1007/s00030-022-00820-0 – volume: 6 start-page: 1 issue: 1 year: 2013 ident: 2599_CR4 publication-title: Kinet. Relat. Models doi: 10.3934/krm.2013.6.1 – volume: 36 start-page: 9755 year: 2003 ident: 2599_CR21 publication-title: J. Phys. A Math. Gen. doi: 10.1088/0305-4470/36/37/312 – volume: 59 start-page: 197 year: 2020 ident: 2599_CR16 publication-title: Calc. Var. Partial Differ. Equ. doi: 10.1007/s00526-020-01863-w – volume: 32 start-page: 703 issue: 3 year: 2012 ident: 2599_CR1 publication-title: Discrete Contin. Dyn. Syst. doi: 10.3934/dcds.2012.32.703 – volume-title: Analysis year: 1997 ident: 2599_CR17 – volume: 229 start-page: 491 year: 2002 ident: 2599_CR20 publication-title: Commun. Math. Phys. doi: 10.1007/s00220-002-0695-2 – volume: 48 start-page: 102103 year: 2007 ident: 2599_CR11 publication-title: J. Math. Phys. doi: 10.1063/1.2789557 – volume: 280 start-page: 517 year: 2008 ident: 2599_CR6 publication-title: Commun. Math. Phys. doi: 10.1007/s00220-008-0455-z – volume: 61 start-page: 043602 year: 2000 ident: 2599_CR18 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.61.043602 – volume: 66 start-page: 758 year: 2006 ident: 2599_CR5 publication-title: SIAM J. Appl. Math. doi: 10.1137/050629392 – volume: 66 start-page: 2087 issue: 4 year: 2015 ident: 2599_CR7 publication-title: Z. Angew. Math. Phys. doi: 10.1007/s00033-015-0501-6 – volume: 33 start-page: 2150004 year: 2021 ident: 2599_CR8 publication-title: Rev. Math. Phys. doi: 10.1142/S0129055X21500045 – volume: 82 start-page: 273 year: 2014 ident: 2599_CR13 publication-title: Milan J. Math. doi: 10.1007/s00032-014-0227-5 – volume: 81 start-page: 647 year: 2009 ident: 2599_CR12 publication-title: Rev. Mod. Phys. doi: 10.1103/RevModPhys.81.647 – volume: 4 start-page: 469 year: 2004 ident: 2599_CR14 publication-title: Adv. Nonlinear Stud. doi: 10.1515/ans-2004-0407 – volume: 202 start-page: 81 year: 2004 ident: 2599_CR22 publication-title: J. Differ. Equ. doi: 10.1016/j.jde.2004.03.027 |
| SSID | ssj0015824 |
| Score | 2.3735328 |
| Snippet | We prove the existence of a class of orbitally stable bound state solutions to nonlinear Schrödinger equations with super-quadratic confinement in two and... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1 |
| SubjectTerms | Analysis Angular momentum Calculus of Variations and Optimal Control; Optimization Conservation laws Constraints Control Lagrange multiplier Mathematical and Computational Physics Mathematics Mathematics and Statistics Schrodinger equation Systems Theory Theoretical |
| SummonAdditionalLinks | – databaseName: SpringerLink Journals (ICM) dbid: U2A link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV05T8MwFLagLDAgTlEoyAMbWGriKx4rRFUhtROVukV-iTPRgpp06a_n2TkqECAxZPIR6fn43uH3PULunUuGVuJJw3bNBHcZMxoEExIcSJUZnvuI7nSmJnPxspCLJimsbF-7tyHJcFN3yW6BmoQhxuAnjWHbfXIgPZ0X7uJ5POpiBzIJpWzRbhEM4cc0qTI_z_EVjnY65rewaECb8Qk5btREOqrX9ZTsudUZOZp2HKvlOdGzmuXCrin42kg05AaV1HtWqX_eivcBuJx6hySar3TpuRaqzfKCzMfPr08T1pRBYBmej4oZiItCO66tQugwhXE2MsYmAufQqjCQ6cjlQnLFnUxcHhtEI0DUKXhmwQC_JL3V-8pdESo5yCiThQUtcDVyUHkScWU1SCtj4H0StdJIs4Yj3JeqeEs7duMgwRQlmAYJpts-eejGfNQMGX_2HrRCTpvTUqYcrdQY9VYz7JPHVvC75t9nu_5f9xtyiL8RtQdlQHrVeuNuUaeo4C5soU9c7sMl priority: 102 providerName: Springer Nature |
| Title | Nonlinear bound states with prescribed angular momentum |
| URI | https://link.springer.com/article/10.1007/s00526-023-02599-z https://www.proquest.com/docview/3254202090 |
| Volume | 63 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVEBS databaseName: Mathematics Source customDbUrl: eissn: 1432-0835 dateEnd: 20241102 omitProxy: false ssIdentifier: ssj0015824 issn: 0944-2669 databaseCode: AMVHM dateStart: 20030401 isFulltext: true titleUrlDefault: https://www.ebsco.com/products/research-databases/mathematics-source providerName: EBSCOhost – providerCode: PRVLSH databaseName: SpringerLink Journals customDbUrl: mediaType: online eissn: 1432-0835 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0015824 issn: 0944-2669 databaseCode: AFBBN dateStart: 19930301 isFulltext: true providerName: Library Specific Holdings – providerCode: PRVAVX databaseName: SpringerLINK - Czech Republic Consortium customDbUrl: eissn: 1432-0835 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0015824 issn: 0944-2669 databaseCode: AGYKE dateStart: 19970101 isFulltext: true titleUrlDefault: http://link.springer.com providerName: Springer Nature – providerCode: PRVAVX databaseName: SpringerLink Journals (ICM) customDbUrl: eissn: 1432-0835 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0015824 issn: 0944-2669 databaseCode: U2A dateStart: 19970101 isFulltext: true titleUrlDefault: http://www.springerlink.com/journals/ providerName: Springer Nature |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV07T8MwED5Bu8CAeIpCqTKwgUUT23E8IFRQSwVqhRBFMEV24kxQSh9Lfz1n51GBRIcokZx4OMf-fHe-7wM4NyZqK44zDdsFYdQkRArNCOPaaB4mkqY2ozsYhv0Re3jjbxswLGth7LHKck10C3X6ldgY-RVFTwYd9bZs30y-iVWNstnVUkJDFdIK6bWjGNuEemCZsWpQv-0On56rvAKPnMwt-jSMIDTJoozGFdM56hOCGIYXl5Isf0PVav_5J2XqkKi3CzvFFtLr5GO-BxtmvA_bg4p_dXYAYpgzYKipp61ukufqhmaejbp69ugrrhXapJ4NVqJr631aHob54vMQRr3uy12fFBIJJMG5MydSB1kmDBUqRFiRmTTKl1JFDPsQYSZ1InyTMk5Danhk0kAiUmlEpIwmSktNj6A2_hqbY_A41dxPeKa0YDhSqQ7TyKehEporHmjaAL-0RpwU_OFWxuIjrpiPnQVjtGDsLBgvG3BRfTPJ2TPWvt0sjRwXM2kWr8a9AZel4VfN__d2sr63U9jCB5ZHU5pQm08X5gz3F3Pdgs2od9-Ceuf-_bFr74PX_qBV_ErYOgo6P0JH0RI |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV07T8MwED4BHYAB8RTl6QEmsGhiO46HCvGqyqMVQiCxBTtxJloeLULw4_htnN2kFUiwdcgSJ5ZyOd_57nzfB7BjbVzTAlcajkvKmU2pkoZTLow1IkoVy1xFt9WOmnf84l7cT8BX2QvjjlWWNtEb6uwpdTnyA4aRDAbqNVU7fH6hjjXKVVdLCg1dUCtkdQ8xVjR2XNqPdwzhevXzU_zfu2HYOLs9adKCZYCmqH59qkyY59IyqSO0zCpXVgdK6Zgbm8koVyaVgc24YBGzIrZZqNDYGzTqOUu1UYbhvJNQ4YwrDP4qx2ft65thHUPEnlYXYyhO0RWqom3HN-95qBWKPhMvoRT9_OkaR_vdXyVa7_ka8zBXbFnJ0UDHFmDCdhdhtjXEe-0tgWwPEDf0KzGOp4n4PqUecVle4o7aom3CDyUuOYqhNOk43If-W2cZ7sYirBWY6j517SoQwYwIUpFrIzlqRmaiLA5YpKURWoSGVSEopZGkBV65o814TIZIy16CCUow8RJMPquwN3zneYDW8e_TG6WQk2Ll9pKRnlVhvxT8aPjv2db-n20bppu3ravk6rx9uQ4zeJMPMjkbMNV_fbObuLfpm61CgQg8jFtnvwH0sQn- |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwELagSAgGxFMUCnhgA6sktuN4rICqPFoxUKmbZSfOREvVpkt_PWfnUUCAxJDJzkU6-_Ld-XzfIXRpbXyjOVgajAvCqE2IFIYRxo01PEokTV1Gtz-IekP2OOKjT1X8_rZ7lZIsahocS9Mkb0_TrF0XvnmaEgJ4Aw-XkizX0QZzRAmwo4dhp84j8Ni3tYUYhhGAIlmWzfws4ys0rfzNbylSjzzdXbRTuoy4U6zxHlqzk3203a_5VucHSAwKxgs9w8b1ScK-TmiO3Skrdldd4d9gbIrd4SSEsnjseBfyxfgQDbv3r7c9UrZEIAnYSk6kCbNMWCp0BDAiM2l1IKWOGcgQUSZNIgKbMk4janls01ACMhlAoIwm2khDj1Bj8j6xxwhzaniQ8EwbwWBlUhOlcUAjLQzXPDS0iYJKGyop-cJd24o3VTMdew0q0KDyGlTLJrqq35kWbBl_zm5VSlal5cwVhYg1BB9W3jTRdaX41fDv0k7-N_0Cbb7cddXzw-DpFG3BF1lxsNJCjXy2sGfgauTm3O-mD2Aqyk0 |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Nonlinear+bound+states+with+prescribed+angular+momentum&rft.jtitle=Calculus+of+variations+and+partial+differential+equations&rft.au=Nenciu%2C+Irina&rft.au=Shen%2C+Xiaoan&rft.au=Sparber%2C+Christof&rft.date=2024-01-01&rft.pub=Springer+Nature+B.V&rft.issn=0944-2669&rft.eissn=1432-0835&rft.volume=63&rft.issue=1&rft.spage=1&rft_id=info:doi/10.1007%2Fs00526-023-02599-z |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0944-2669&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0944-2669&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0944-2669&client=summon |