Three non-trival solutions of anticoercive boundary value problems for the Pseudo-Laplace-operator.

DOI10.1515/crll.1981.325.68zbMath0456.35032OpenAlexW55992970MaRDI QIDQ3905801

Michael Struwe

Publication date: 1981

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002198495

zbMATH Keywords

energy estimatesnumber of solutionsLusternik-Schnirelman theoryanticoercive variational boundary value problemsexistence of three distinct nontrivial solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (11)

Existence and multiplicity of solutions for semilinear elliptic systems ⋮ Three solutions for a semilinear elliptic boundary value problem ⋮ Existence and multiplicity of solutions for a Dirichlet problem in fractional Orlicz-Sobolev spaces ⋮ The multiplicity of solutions for the critical problem involving the fracional p-Laplacian operator ⋮ A multiplicity theorem for \(p\)-superlinear \(p\)-Laplacian equations using critical groups and Morse theory ⋮ Existence results for the \(p(x)\)-Laplacian with nonlinear boundary condition ⋮ Higher energy solutions in the theory of phase transitions: A variational approach ⋮ Existence of sign-changing solution for a problem involving the fractional Laplacian with critical growth nonlinearities ⋮ Three solutions for a nonlocal problem with critical growth ⋮ Multiple solutions for the \(p\)-Laplace operator with critical growth ⋮ On a superlinear elliptic equation

This page was built for publication: Three non-trival solutions of anticoercive boundary value problems for the Pseudo-Laplace-operator.