Eigenvalue problems for nonlinear elliptic equations with unilateral constraints

In this paper we study eigenvalue problems for hemivariational and variational inequalities driven by the p-Laplacian differential operator. Using topological methods (based on multivalued versions of the Leray–Schauder alternative principle) and variational methods (based on the nonsmooth critical...

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Bibliographic Details
Main Author: Filippakis, Michael (author)
Other Authors: Papageorgiou, Nikolaos (author), Staicu, Vasile (author)
Format: article
Language:eng
Published: 1000
Subjects:
Generalized subdifferential
Fixed point
Nonsmooth PS-condition
Nonlinear regularity theory
m-accretive operator
Monotone operator
Spectrum of p-Laplacian
Multiple solutions
Online Access:http://hdl.handle.net/10773/5406
Country:Portugal
Oai:oai:ria.ua.pt:10773/5406
Description
Summary:In this paper we study eigenvalue problems for hemivariational and variational inequalities driven by the p-Laplacian differential operator. Using topological methods (based on multivalued versions of the Leray–Schauder alternative principle) and variational methods (based on the nonsmooth critical point theory), we prove existence and multiplicity results for the eigenvalue problems that we examine.

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