On nonlinear parametric problems for p-Laplacian-like operators

DOI10.1007/BF03191850zbMath1181.35055MaRDI QIDQ5324505

Eugénio M. Rocha, Nikolaos S. Papageorgiou

Publication date: 3 August 2009

Published in: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/43687

zbMATH Keywords

\(p\)-Laplacian-like operatorcritical groups and Morse theorysuperlinear nonlinearity, strong deformation retract

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 (8)

Multiple nodal solutions for nonlinear nonhomogeneous elliptic problems with a superlinear reaction ⋮ On \(p\)-superlinear equations with a nonhomogeneous differential operator ⋮ Nodal solutions for noncoercive nonlinear Neumann problems with indefinite potential ⋮ A model of capillary phenomena in \(\mathbb{R}^N\) with subcritical growth ⋮ Multiple and nodal solutions for parametric Neumann problems with nonhomogeneous differential operator and critical growth ⋮ Sign-changing solutions for resonant and superlinear nonhomogeneous elliptic equations ⋮ Multiple solutions for nearly resonant nonlinear Dirichlet problems ⋮ An elliptic equation on n-dimensional manifolds

This page was built for publication: On nonlinear parametric problems for p-Laplacian-like operators