Search results for "Nonsmooth functions"

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An eigenvalue Dirichlet problem involving the p-Laplacian with discontinuous nonlinearities

2005

AbstractA multiplicity result for an eigenvalue Dirichlet problem involving the p-Laplacian with discontinuous nonlinearities is obtained. The proof is based on a three critical points theorem for nondifferentiable functionals.

Dirichlet problemDiscontinuous nonlinearitiesApplied MathematicsMathematical analysisp-LaplacianMultiple solutionsMathematics::Optimization and ControlDirichlet's energyMathematics::Spectral TheoryEigenvalue Dirichlet problemCritical points of nonsmooth functionsNonlinear systemsymbols.namesakeDirichlet eigenvalueDirichlet's principleRayleigh–Faber–Krahn inequalitysymbolsp-LaplacianEigenvalues and eigenvectorsAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Critical points for nondifferentiable functions in presence of splitting

2006

A classical critical point theorem in presence of splitting established by Brézis-Nirenberg is extended to functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. The obtained result is then exploited to prove a multiplicity theorem for a family of elliptic variational-hemivariational eigenvalue problems. © 2005 Elsevier Inc. All rights reserved.

Mathematics::Functional AnalysisPure mathematicsnon-smooth functionNonsmooth functionssplittingApplied MathematicsMathematical analysisMultiple solutionsMultiple solutionMathematics::Analysis of PDEsRegular polygoncritical point; non-smooth function; splittingcritical pointMultiplicity (mathematics)Critical pointsNonsmooth functionElliptic variational-hemivariational eigenvalue problemLipschitz continuityCritical point (mathematics)Elliptic variational–hemivariational eigenvalue problemsSplittingsEigenvalues and eigenvectorsAnalysisMathematics
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