On Existence and Stability of Solutions for Higher Order Semilinear Dirichlet Problems

Proceedings Mathematical Sciences

Marek Galewski¹ 

[1] Faculty of Mathematics and Computer Science, University of Lodz, Banacha , 0- Lodz, Poland$$

关键词: Dirichlet problem;    dual variational method;    existence of solutions;    stability.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 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.

【 授权许可】

Unknown