Some elliptic system and reduction method

Journal of inequalities and applications

Tacksun Jung¹ 

关键词: elliptic system;    reduction method;    (PS) condition;    critical point theory;    variational method;    35J50;    35J55;   

DOI  :  10.1186/s13660-015-0614-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We get a theorem which shows the existence of at least three solutions for some elliptic system with Dirichlet boundary condition. We obtain this result by using the finite dimensional reduction method for the dimension of the system which reduces the infinite dimensional problem to the finite dimensional one. We also use critical point theory on the reduced finite dimensional subspace.

【 授权许可】

CC BY