Infinitely many solutions to the Neumann problem for elliptic equations involving the p-Laplacian and with discontinuous nonlinearities

被引：29

作者：

Candito, P

机构：

[1] Univ Messina, Dipartimento Matemat, I-98166 St Agata, ME, Italy

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

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2002年 / 45卷

关键词：

critical points of non-smooth functions; p-Laplacian; elliptic problems with discontinuous nonlinearities;

D O I：

10.1017/S0013091501000189

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the existence of infinitely many solutions to a Neumann problem involving the p-Laplacian and with discontinuous nonlinearities. The technical approach is mainly based on a very recent result on critical points for possibly non-smooth functionals in a Banach space due to Marano and Motrearm, namely Theorem 1.1 in a paper that is to appear in the journal J. Diff. Eqns (see Theorem 2.3 in the body of this paper). Some applications are presented.

引用

页码：397 / 409

页数：13

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