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RESEARCH PRODUCT

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

Nicola GiovannelliGabriele Bonanno

subject

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 eigenvectorsAnalysisMathematics

description

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.

yearjournalcountryeditionlanguage
2005-08-01Journal of Mathematical Analysis and Applications
10.1016/j.jmaa.2004.11.053http://dx.doi.org/10.1016/j.jmaa.2004.11.053