Existence of solutions for Dirichlet problems with \(p\)-Laplacian

DOI10.1016/j.na.2012.04.006zbMath1246.35078OpenAlexW2090361536MaRDI QIDQ435061

Zeng-Qi Ou, Chun Li

Publication date: 16 July 2012

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.2012.04.006

zbMATH Keywords

eigenvalues\(p\)-LaplacianG-link theoremnoncrossing condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Nonlinear elliptic equations (35J60)

Related Items

An optimal control approach to the design of periodic orbits for mechanical systems with impacts ⋮ Existence of weak solutions for a class of \((p,q)\)-Laplacian systems ⋮ Stochastic multi‐player pursuit–evasion differential games

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A variational approach to subquadratic perturbations of elliptic systems
• Subharmonic solutions for subquadratic Hamiltonian systems
• Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
• Linking and existence results for perturbations of the \(p\)-Laplacian
• Resonance problems for the \(p\)-Laplacian
• Resonance problems for the \(p\)-Laplacian with a nonlinear boundary condition
• \(p\)-Laplacian problems where the nonlinearity crosses an eigenvalue
• MULTIPLE SOLUTIONS TO p-LAPLACIAN PROBLEMS WITH ASYMPTOTIC NONLINEARITY AS up−1 AT INFINITY
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Variational elliptic problems which are nonquadratic at infinity
• Existence results for perturbations of the p-Laplacian

This page was built for publication: Existence of solutions for Dirichlet problems with \(p\)-Laplacian