Three solutions for a perturbed Dirichlet boundary value problem involving the \(p\)-Laplacian

DOI10.1016/J.NA.2009.08.025zbMath1183.35154OpenAlexW1986495913MaRDI QIDQ2653966

Xudong Shang, Ji Hui Zhang

Publication date: 15 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.2009.08.025

zbMATH Keywords

Dirichlet problemcritical point\(p\)-Laplacianthree solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

Three periodic solutions for a class of ordinary \(p\)-Hamiltonian systems

Cites Work

• Perturbation from Dirichlet problem involving oscillating nonlinearities
• Three solutions for a Dirichlet boundary value problem involving the \(p\)-Laplacian
• Existence of solutions for a perturbed Dirichlet problem without growth conditions
• Some remarks on a three critical points theorem
• Solutions of some nonlinear elliptic problems with perturbation terms of arbitrary growth
• On a three critical points theorem
• Perturbations from symmetric elliptic boundary value problems
• A general variational principle and some of its applications
• Perturbations of nonsmooth symmetric nonlinear eigenvalue problems

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