ON THE DIRICHLET PROBLEM WITH NONCONVEX NONLINEARITY

被引：0
|
作者：
Galewski, Marek [1 ]
机构：
[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2010年 / 47卷 / 02期
关键词：
Dirichlet problem; dual variational method; existence of solutions; nonlinear eigenvalue;
D O I：
10.1556/SScMath.2009.1124
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide existence results for 2m order Dirichlet problems with nonconvex nonlinearity which satisfies general local growth conditions. In doing so we construct a dual variational method. Problem considered relates to the problem of nonlinear eigenvalue.
引用
收藏
页码：190 / 199
页数：10
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