Fourth order elliptic boundary value problem with nonlinear term decaying at the origin

Journal of inequalities and applications

Tacksun Jung¹ 

关键词: fourth order elliptic boundary value problem;    nonlinear term decaying at the origin;    bounded nonlinear term;    variational method;    generalized mountain pass theorem;   

DOI  :  10.1186/1029-242X-2013-432

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider the number of the weak solutions for some fourth order elliptic boundary value problem with bounded nonlinear term decaying at the origin. We get a theorem, which shows the existence of the bounded solution for this problem. We obtain this result by approaching the variational method and using the generalized mountain pass theorem for the fourth order elliptic problem with bounded nonlinear term. MSC:35J30, 35J40.

【 授权许可】

CC BY