A multiplicity theorem for the Neumann p-Laplacian with an asymmetric nonsmooth potential

被引：20

作者：

Barletta, Giuseppina ^{[1
]}

Papageorgiou, Nikolaos S.

机构：

[1] Univ Reggio Calabria, Dipartimento Patrimonio Architetton & Urbanist, Fac Architettura, I-89124 Reggio Di Calabria, Italy

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2007年 / 39卷 / 03期

关键词：

Neumann problem; p-Laplacian; degree theory; local minimizer; lagrange multiplier rule; nonsmooth potential;

D O I：

10.1007/s10898-007-9142-4

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequality). By combining variational with degree theoretic techniques, we prove a multiplicity theorem. In the process, we also prove a result of independent interest relating W-n(1,p) and C-n(1) local minimizers, of a nonsmooth locally Lipschitz functional.

引用

页码：365 / 392

页数：28

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