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

页码：190 / 199

页数：10

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