A note on a class of noncoercive functionals

DOI10.1016/S0893-9659(03)90117-0zbMath1106.35306OpenAlexW2044685236MaRDI QIDQ1433195

Nikolaos Halidias

Publication date: 15 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(03)90117-0

zbMATH Keywords

Mountain-Pass theoremNontrivial solutionCritical pointSuperlinear elliptic problemsCerami PS conditionNoncoercive functionals

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Existence theories for free problems in two or more independent variables (49J10) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Dual variational methods in critical point theory and applications
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
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