Existence of three nontrivial solutions for asymptotically \(p\)-linear noncoercive \(p\)-Laplacian equations

DOI10.1016/j.na.2011.05.014zbMath1219.35069OpenAlexW1998040382MaRDI QIDQ555048

Eugénio M. Rocha, Nikolaos S. Papageorgiou

Publication date: 22 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.014

zbMATH Keywords

critical groupsmountain pass theorem\(p\)-Laplacianhomotopy invarianceMorse relation

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

Constant-sign and sign-changing solutions for the Sturm-Liouville boundary value problems ⋮ Multiplicity of nontrivial solutions for quasilinear elliptic equation ⋮ On a Dirichlet problem with \(p\)-Laplacian and asymmetric nonlinearity ⋮ Multiple positive solutions for a \((p,q)\)-Laplace equation involving singular and critical terms ⋮ On nodal solutions for nonlinear elliptic equations with a nonhomogeneous differential operator

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