Existence of a non-trivial solution for the \(p\)-Laplacian equation with Fučík-type resonance at infinity. III

DOI10.1016/J.NA.2009.06.096zbMath1181.35123OpenAlexW4251612896MaRDI QIDQ1049530

Mieko Tanaka

Publication date: 12 January 2010

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.2009.06.096

zbMATH Keywords

mountain pass theoremFučík spectrum of the \(p\)-Laplacian

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) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (2)

Sign-changing and constant-sign solutions for \(p\)-Laplacian problems with jumping nonlinearities ⋮ Existence of solutions for quasilinear elliptic equations with jumping nonlinearities under the Neumann boundary condition

Cites Work

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