Existence of solutions for a perturbed Dirichlet problem without growth conditions

DOI10.1016/J.JMAA.2006.08.039zbMath1131.35028OpenAlexW2016527772MaRDI QIDQ879054

Giovanni Anello

Publication date: 4 May 2007

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.2006.08.039

zbMATH Keywords

strong solutionsweak solutionsvariational methodselliptic boundary value problems

Mathematics Subject Classification ID

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)

Related Items (4)

Minimization on spheres of coercive functionals on \(W^{1,2}_0(\Omega )\) ⋮ Three solutions for a perturbed Dirichlet boundary value problem involving the \(p\)-Laplacian ⋮ BOUNDED MULTIPLE SOLUTIONS FOR -LAPLACIAN PROBLEMS WITH ARBITRARY PERTURBATIONS ⋮ Existence results for semilinear elliptic boundary value problems via topological methods

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• Existence of three solutions for a class of elliptic eigenvalue problems
• Existence and location of solutions to the Dirichlet problem for a class of nonlinear elliptic equations

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