A multiplicity theorem for Neumann problems with asymmetric nonlinearity

DOI10.1007/s10231-009-0108-7zbMath1189.35101OpenAlexW2087153348MaRDI QIDQ968033

Nikolaos S. Papageorgiou, George Smyrlis

Publication date: 3 May 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-009-0108-7

zbMATH Keywords

maximum principleMorse theorycritical groupasymmetric nonlinearitystrong deformation retract

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (3)

Semilinear elliptic problems with asymmetric nonlinearities ⋮ Nontrivial solution for asymmetric \((p,2)\)-Laplacian Dirichlet problem ⋮ Critical Neumann problems with asymmetric nonlinearity

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