DEGREE THEORETIC METHODS IN THE STUDY OF POSITIVE SOLUTIONS FOR NONLINEAR HEMIVARIATIONAL INEQUALITIES

被引:0
|
作者
Filippakis, Michael E. [1 ]
Papageorgiou, Nikolaos S. [1 ]
机构
[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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].
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页码:223 / 240
页数:18
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