SOME EXISTENCE RESULTS FOR A CLASS OF FOURTH ORDER ELLIPTIC EQUATIONS WITH NONSMOOTH POTENTIAL

被引：1

作者：

Zhang, Guoqing ^{[1
]}

Liu, Sanyang

机构：

[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2010年 / 40卷 / 05期

关键词：

Existence and multiplicity results; nonsmooth functionals; asymptotically linear; local linking; CRITICAL-POINTS; FUNCTIONALS; RESONANCE;

D O I：

10.1216/RMJ-2010-40-5-1729

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we ontain existence and multiplicity results for a class of fourth order alliptic equations with nonsmooth potential. Based on the nonsmooth mountain pass lemma, we consider the fourth order elliptic problems when the nonlinear term is asymptotically linear and prove the existence of positive solutions. Furthermore, two nontrivial solution are obtained by using local linking for nonsmooth functionals.

引用

页码：1729 / 1743

页数：15

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