Two nontrivial solutions for strongly resonant nonlinear elliptic equations

被引：1

作者：

Kyritsi, ST

Motreanu, D

Papageorgiou, NS

机构：

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

[2] Univ Perpignan, Dept Math, F-66860 Perpignan, France

来源：

ARCHIV DER MATHEMATIK | 2004年 / 83卷 / 01期

关键词：

35J20; 35J60; 35J70.;

D O I：

10.1007/s00013-003-4781-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a nonlinear elliptic differential equation driven by the p-Laplacian and with strong resonance at infinity. Using the so-called "second deformation theorem" we prove the existence of at least two nontrivial solutions. The approach is variational.

引用

页码：60 / 69

页数：10

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