Geodesic
Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities
Annales Polonici Mathematici, Tome 75 (2000) no. 2, pp. 125-141

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-75-2-125-141
Keywords: eigenvalues, multivalued problem, discontinuous term, p-Laplacian, subdifferential, locally Lipschitz functional

Nikolaos Papageorgiou 1 ; Francesca Papalini 1

1 
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Nikolaos Papageorgiou; Francesca Papalini. Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities. Annales Polonici Mathematici, Tome 75 (2000) no. 2, pp. 125-141. doi: 10.4064/ap-75-2-125-141

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