Morse theory for indefinite nonlinear elliptic problems

DOI10.1016/j.anihpc.2007.08.004zbMath1166.35022OpenAlexW2070507120MaRDI QIDQ1001981

Kung-Ching Chang, Mei Yue Jiang

Publication date: 20 February 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78832

zbMATH Keywords

Morse theorycritical pointsnonlinear elliptic problemsDirichlet condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) 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)

Related Items (9)

Quasilinear equations with indefinite nonlinearity ⋮ Some qualitative results of the critical groups for the \(p\)-Laplacian equations ⋮ A note on a superlinear indefinite Neumann problem with multiple positive solutions ⋮ The descending flow method and existence of solutions for a class of elliptic equations ⋮ Dirichlet problems with double resonance and an indefinite potential ⋮ Seven solutions with sign information for sublinear equations with unbounded and indefinite potential and no symmetries ⋮ Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight ⋮ Critical groups at infinity for \(p\)-Laplacian equations with indefinite nonlinearities ⋮ Bifurcation results for a Kirchhoff type problem involving sign-changing weight functions

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