摘要
将一类非线性椭圆方程组的求解问题化归为一给定泛函的临界点问题.利用变分法、经典的极值理论和山路引理证明了给定泛函在各种不同条件下临界点及非平凡临界点的存在性,从而得到了这类非线性椭圆方程组的解及非平凡解.
In this paper, the solution of a class of system of nonlinear elliptic equations is transformed into a problem of finding critical points of the given functional. Under various conditions, the existence of critical points and nontrivial critical points is proved by using variational methods, the extreme theory and the Mountain Pass lemma, so that the solution and nontrivial solution of the nonlinear elliptic system is obtained.
出处
《西安电子科技大学学报》
EI
CAS
CSCD
北大核心
2004年第2期317-320,共4页
Journal of Xidian University
基金
上海市高校青年科学基金资助项目(02GQ24)
上海理工大学青年科研基金资助项目(X290)
