On existence and stability of solutions for higher order semilinear Dirichlet problems

被引：1

作者：

Galewski, Marek ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2008年 / 118卷 / 04期

关键词：

Dirichlet problem; dual variational method; existence of solutions; stability;

D O I：

10.1007/s12044-008-0048-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide existence and stability results for semilinear Dirichlet problems with nonlinearity satisfying general growth conditions. We consider the case when both the coefficients of the differential operator and the nonlinear term depend on the numerical parameter. We show applications for the fourth order semilinear Dirichlet problem.

引用

页码：627 / 635

页数：9

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