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2006 Degree theoretic methods in the study of positive solutions for nonlinear hemivariational inequalities
Michael E. Filippakis, Nikolaos S. Papageorgiou
Differential Integral Equations 19(2): 223-240 (2006).

Abstract

In this paper we study the existence of positive solutions for nonlinear elliptic problems driven by the $p$-Laplacian differential operator and with a nonsmooth potential (hemivariational inequalities). The hypotheses, in the case $p=2$ (semilinear problems), incorporate in our framework of analysis the so-called asymptotically linear problems. The approach is degree theoretic based on the fixed-point index for nonconvex-valued multifunctions due to Bader [3].

Citation

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Michael E. Filippakis. Nikolaos S. Papageorgiou. "Degree theoretic methods in the study of positive solutions for nonlinear hemivariational inequalities." Differential Integral Equations 19 (2) 223 - 240, 2006.

Information

Published: 2006
First available in Project Euclid: 21 December 2012

zbMATH: 1212.35081
MathSciNet: MR2194505

Subjects:
Primary: 35J85
Secondary: 35J20, 35J60, 35R70, 47H11, 47J20

Rights: Copyright © 2006 Khayyam Publishing, Inc.

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Vol.19 • No. 2 • 2006
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