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Eigenvalue problems for nonlinear elliptic equations with unilateral constraints

✍ Scribed by Michael E. Filippakis; Nikolaos S. Papageorgiou; Vasile Staicu

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 481 KB
Volume: 69
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2007.05.002

No coin nor oath required. For personal study only.

✦ Synopsis

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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