Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities

• Autorzy: Nikolaos S. Papageorgiou , Francesca Papalini
• Języki publikacji: EN

Abstrakty

EN

We study eigenvalue problems with discontinuous terms. In particular we consider two problems: a nonlinear problem and a semilinear problem for elliptic equations. In order to study the existence of solutions we replace these two problems with their multivalued approximations and, for the first problem, we estabilish an existence result while for the second problem we prove the existence of multiple nontrivial solutions. The approach used is variational.

Słowa kluczowe

EN

eigenvalues; multivalued problem; discontinuous term; p-Laplacian; subdifferential; locally Lipschitz functional

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2000
• Tom: 75
• Numer: 2
• Strony: 125-141

Daty

wydano

2000

otrzymano

1999-10-18

poprawiono

2000-04-17

Twórcy

autor

Nikolaos S. Papageorgiou

• Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece

autor

Francesca Papalini

• Department of Mathematics, University of Ancona, Via Brecce Bianche, Ancona 60131, Italy

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