# Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities

Nikolaos Papageorgiou; Francesca Papalini

Annales Polonici Mathematici (2000)

- Volume: 75, Issue: 2, page 125-141
- ISSN: 0066-2216

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topPapageorgiou, Nikolaos, and Papalini, Francesca. "Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities." Annales Polonici Mathematici 75.2 (2000): 125-141. <http://eudml.org/doc/208390>.

@article{Papageorgiou2000,

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.},

author = {Papageorgiou, Nikolaos, Papalini, Francesca},

journal = {Annales Polonici Mathematici},

keywords = {eigenvalues; multivalued problem; discontinuous term; p-Laplacian; subdifferential; locally Lipschitz functional},

language = {eng},

number = {2},

pages = {125-141},

title = {Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities},

url = {http://eudml.org/doc/208390},

volume = {75},

year = {2000},

}

TY - JOUR

AU - Papageorgiou, Nikolaos

AU - Papalini, Francesca

TI - Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities

JO - Annales Polonici Mathematici

PY - 2000

VL - 75

IS - 2

SP - 125

EP - 141

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/208390

ER -

## References

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