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ArticleOriginal scientific text

Title

Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities

Authors 1, 2

Affiliations

  1. Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece
  2. Department of Mathematics, University of Ancona, Via Brecce Bianche, Ancona 60131, Italy

Abstract

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.

Keywords

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

Bibliography

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Annales Polonici Mathematici
2000/75/2
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Pages:
125-141
Main language of publication
English
Received
1999-10-18
Accepted
2000-04-17
Published
2000
Exact and natural sciences