Solvability of Neumann problem for elliptic equations at resonance

DOI10.1016/S0362-546X(99)00266-7zbMath1002.35047MaRDI QIDQ5936417

Chun-Lei Tang

Publication date: 13 January 2003

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

zbMATH Keywords

critical pointPoincaré inequalityminimax methodssaddle point theoremSobolev embedding theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Resonance in context of PDEs (35B34)

Related Items (14)

Existence of weak solutions for a class of quasilinear elliptic systems ⋮ Landesman-lazer type \((p, q)\)-equations with Neumann condition ⋮ The existence and multiplicity of solutions for \(p(x)\)-Laplacian-like Neumann problems ⋮ Existence of weak solutions for a class of \((p,q)\)-Laplacian systems on resonance ⋮ Existence and multiplicity of solutions for p-Laplacian Neumann problems ⋮ On resonant Neumann problems ⋮ Existence and multiplicity for solutions of Neumann problem for semilinear elliptic equations. ⋮ On elliptic problems satisfying Landesman-Laser conditions. ⋮ Resonance problems for the \(p\)-Laplacian systems ⋮ Multiple solutions of a class of Neumann problem for semilinear elliptic equations ⋮ Resonance problems for the \(p\)-Laplacian with a nonlinear boundary condition ⋮ On existence and multiplicity of solutions of Neumann boundary value problems for quasi-linear elliptic equations ⋮ Nontrivial solutions for a class of resonant \(p\)-Laplacian Neumann problems ⋮ Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited

Cites Work

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• Nonlinear boundary value problems at resonance
• Nonlinear Two Point Boundary Value Problems at Resonance Without Landesman-Lazer Condition
• Perturbations of second order linear elliptic problems by unbounded nonlinearities
• On the solvability of a nonlinear second-order elliptic equation at resonance
• On a Class of Functionals Invariant under a Z n Action

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