Existence of infinitely many weak solutions for a Neumann problem
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Publication:1879743
DOI10.1016/j.na.2004.02.009zbMath1058.35071OpenAlexW2060555316MaRDI QIDQ1879743
Publication date: 23 September 2004
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.2004.02.009
Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)
Related Items (17)
Existence of multiple solutions with precise sign information for superlinear Neumann problems ⋮ Remarks on Ricceri's variational principle and applications to the \(p(x)\)-Laplacian equations ⋮ Existence and multiplicity of solutions for p-Laplacian Neumann problems ⋮ A multiplicity theorem for the Neumann \(p\)-Laplacian with an asymmetric nonsmooth potential ⋮ Infinitely many solutions of a Sturm-Liouville system with impulses ⋮ A note on the Neumann problem ⋮ A \(p\)-Laplacian supercritical Neumann problem ⋮ Multiple solutions for superlinear \(p\)-Laplacian Neumann problems ⋮ Existence of solutions for nonlinear Robin problems with the \(p\)-Laplacian and hemivariational inequality ⋮ On existence and multiplicity of solutions of Neumann boundary value problems for quasi-linear elliptic equations ⋮ Nonsmooth Neumann-Type Problems Involving thep-Laplacian ⋮ Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities ⋮ The existence of two nontrivial solutions via homological local linking for the non-coercive \(p\)-Laplacian Neumann problem ⋮ Existence results for a supercritical Neumann problem with a convex -- concave non-linearity ⋮ Applications of local linking to nonlocal Neumann problems ⋮ Unnamed Item ⋮ Infinitely many sign-changing solutions for \(p\)-Laplacian Neumann problems with indefinite weight
Cites Work
- Spherical maxima in Hilbert space and semilinear elliptic eigenvalue problems
- Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
- A general variational principle and some of its applications
- 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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