Multiple solutions for semilinear resonant elliptic problems with discontinuous nonlinearities via nonsmooth double linking theorem

DOI10.1007/s10898-009-9411-5zbMath1205.34023OpenAlexW2013493654MaRDI QIDQ2655342

Kai-Min Teng

Publication date: 25 January 2010

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-009-9411-5

zbMATH Keywords

nonsmoothlocally Lipschitzdouble linkingcritial point

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Set-valued operators (47H04) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Ordinary differential inclusions (34A60)

Related Items (5)

A pair of positive solutions for the Dirichlet \(p(z)\)-Laplacian with concave and convex nonlinearities ⋮ The topological degree methods for the fractional p(·)-Laplacian problems with discontinuous nonlinearities ⋮ On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method ⋮ EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR DEGENERATE HEMIVARIATIONAL INEQUALITIES INVOLVING LERAY–LIONS TYPE OPERATOR WITH CRITICAL GROWTH ⋮ Strongly nonlinear multivalued elliptic equations on a bounded domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solvability of semilinear hemivariational inequalities at resonance using generalized Landesman-Lazer conditions
• Multiple positive solutions for eigenvalue problems of hemivariational inequalities
• Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Double linking theorem and multiple solutions.
• Multiplicity results for semilinear resonant elliptic problems with discontinuous nonlinearities
• Nontrivial solutions for resonant hemivariational inequalities
• Existence of Solutions and of Multiple Solutions for Nonlinear Nonsmooth Periodic Systems
• Optimization and nonsmooth analysis
• On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems

This page was built for publication: Multiple solutions for semilinear resonant elliptic problems with discontinuous nonlinearities via nonsmooth double linking theorem