Displaying similar documents to “A multiplicity theorem for the Neumann problem for nonlinear hemivariational inequalities”

On Neumann elliptic problems with discontinuous nonlinearities

Nikolaos Halidias (2001)

Archivum Mathematicum

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In this paper we study a class of nonlinear Neumann elliptic problems with discontinuous nonlinearities. We examine elliptic problems with multivalued boundary conditions involving the subdifferential of a locally Lipschitz function in the sense of Clarke.

Quasilinear elliptic problems with multivalued terms

Nikolaos Halidias, Nikolaos S. Papageorgiou (2000)

Czechoslovak Mathematical Journal

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We study the quasilinear elliptic problem with multivalued terms.We consider the Dirichlet problem with a multivalued term appearing in the equation and a problem of Neumann type with a multivalued term appearing in the boundary condition. Our approach is based on Szulkin’s critical point theory for lower semicontinuous energy functionals.

Discontinuous quasilinear elliptic problems at resonance

Nikolaos Kourogenis, Nikolaos Papageorgiou (1998)

Colloquium Mathematicae

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In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.