POSITIVE SOLUTIONS FOR A NONLINEAR ELLIPTIC PROBLEM WITH STRONG LACK OF COMPACTNESS

DOI10.1112/S002461070602309XzbMath1194.35155arXiv1310.6984OpenAlexW2160664293MaRDI QIDQ3419083

Riccardo Molle

Publication date: 6 February 2007

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6984

zbMATH Keywords

nonlinear elliptic probleminfinitely many solutionslack of compactnessnon-converging Palais--Smale sequences

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

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