Perturbed Neumann Problems with Many Solutions

DOI10.1080/01630560802418383zbMath1160.35027OpenAlexW2035945030MaRDI QIDQ5302571

Alexandru Kristály

Publication date: 7 January 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802418383

zbMATH Keywords

arbitrarily many solutionsoscillatory nonlinearityperturbed Neumann problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Perturbation from Dirichlet problem involving oscillating nonlinearities
• On the multiplicity of the solutions of the equation \(-\Delta u=\lambda \cdot f(u)\)
• Perturbations from symmetric elliptic boundary value problems
• Absolute continuity on tracks and mappings of Sobolev spaces
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN
• Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential^∗
• Nonsmooth Neumann-Type Problems Involving thep-Laplacian
• ON AN OPEN QUESTION OF RICCERI CONCERNING A NEUMANN PROBLEM

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