On elliptic problems satisfying Landesman-Laser conditions.

DOI10.1016/J.BULSCI.2003.05.001zbMath1330.35100arXivmath/0303270OpenAlexW2041915580MaRDI QIDQ1428216

Nikolaos Halidias

Publication date: 14 March 2004

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303270

zbMATH Keywords

critical point theorynontrivial solutionMountain-Pass theoremLandesman-Laser conditionsCerami (PS) condition

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
• On Neumann hemivariational inequalities
• Strong resonance for some quasilinear elliptic equations
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Solvability of Neumann problem for elliptic equations at resonance

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