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.
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页码：60 / 69
页数：10
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