Positive ground state solutions for asymptotically periodic generalized quasilinear Schrödinger equations

In this paper, we study the existence of a positive ground state solution for a class of generalized quasilinear Schrödinger equations with asymptotically periodic potential. By the variational method, a positive ground state solution is obtained. Compared with the existing results, our results impr...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 1; pp. 1015 - 1034
Main Author Zhang, Shulin
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
asymptotically periodic
generalized quasilinear schrödinger equations
nehari manifold method
positive ground state solution
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ISSN2473-6988
2473-6988
DOI10.3934/math.2022061

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Summary:In this paper, we study the existence of a positive ground state solution for a class of generalized quasilinear Schrödinger equations with asymptotically periodic potential. By the variational method, a positive ground state solution is obtained. Compared with the existing results, our results improve and generalize some existing related results.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022061