A UNIFIED APPROACH TO SOLVABILITY CONDITIONS FOR NONLINEAR SECOND-ORDER ELLIPTIC EQUATIONS AT RESONANCE

It is shown that known solvability conditions and several new existence results for semilinear elliptic boundary value problems at resonance can be considered from a unified point of view. The proofs apply Leray–Schauder degree arguments. 1991 Mathematics Subject Classification 35J65, 47H11, 47H15....

Full description

Saved in:
Bibliographic Details
Published inThe Bulletin of the London Mathematical Society Vol. 31; no. 4; pp. 385 - 414
Main Author RUNST, THOMAS
Format Journal Article
LanguageEnglish
Published Cambridge University Press 01.07.1999
Oxford University Press
Subjects
SURVEY
Online AccessGet full text
ISSN0024-6093
1469-2120
DOI10.1112/S0024609399005858

Cover

More Information
Summary:It is shown that known solvability conditions and several new existence results for semilinear elliptic boundary value problems at resonance can be considered from a unified point of view. The proofs apply Leray–Schauder degree arguments. 1991 Mathematics Subject Classification 35J65, 47H11, 47H15.
Bibliography:ark:/67375/HXZ-74VNV0VG-P
ArticleID:31.4.385
istex:98AAAD9F5A3057E1EDF78B771449811AC939ACD9
ISSN:0024-6093
1469-2120
DOI:10.1112/S0024609399005858