On the Neumann problem for elliptic equations involving the \(p\)-Laplacian

DOI10.1016/j.jmaa.2009.04.055zbMath1177.35069OpenAlexW2059516884MaRDI QIDQ2389250

Giuseppina D'Aguì, Gabriele Bonanno

Publication date: 15 July 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.04.055

zbMATH Keywords

multiple solutionsNeumann problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60)

Related Items (23)

Infinitely many solutions for impulsive nonlinear fractional boundary value problems ⋮ Global bifurcation for N-dimensional p-Laplacian problem and its applications ⋮ Infinitely Many Solutions for Mixed Elliptic Problems Involving the p−Laplacian ⋮ A critical point theorem and existence results for a nonlinear boundary value problem ⋮ Qualitative analysis of gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket ⋮ Indefinite weight nonlinear problems with Neumann boundary conditions ⋮ Infinitely many solutions for class of Neumann quasilinear elliptic systems ⋮ Infinitely many solutions for anisotropic variable exponent problems ⋮ Infinitely many solutions for a double Sturm-Liouville problem ⋮ Unnamed Item ⋮ Infinitely many solutions for perturbed hemivariational inequalities ⋮ Parametric Robin double phase problems with critical growth on the boundary ⋮ Multiple solutions of nonlinear Neumann inclusions ⋮ Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions ⋮ Infinitely many solutions for systems of \(n\) fourth order partial differential equations coupled with Navier boundary conditions ⋮ Semipositone nonlocal Neumann elliptic system depending on the gradient in exterior domains ⋮ Positive solutions for the Neumann \(p\)-Laplacian ⋮ Perturbed Kirchhoff-type Neumann problems in Orlicz-Sobolev spaces ⋮ Variational-hemivariational inequalities with small perturbations of nonhomogeneous Neumann boundary conditions ⋮ Eigenvalue criteria for semipositone Neumann elliptic problem in exterior domain ⋮ Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces ⋮ Infinitely many solutions to boundary value problem for fractional differential equations ⋮ Unnamed Item

Cites Work

• Infinitely many solutions for a Neumann-type differential inclusion problem involving the \(p(x)\)-Laplacian
• Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
• The existence of infinitely many solutions of a class of nonlinear elliptic equations with Neumann boundary condition for both resonance and oscillation problems.
• Three solutions to a Neumann problem for elliptic equations involving the \(p\)-Laplacian
• Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
• Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary condition
• A general variational principle and some of its applications
• Existence of infinitely many solutions for a Neumann problem involving the \(p(x)\)-Laplacian
• Infinitely many solutions for a differential inclusion problem in \(\mathbb R^N\)
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN
• INFINITELY MANY SOLUTIONS TO THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN AND WITH DISCONTINUOUS NONLINEARITIES

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