摘要
本文通过运用山路引理及Sobolev连续（紧）嵌入定理获一类半线性Dirichlet边值问题广义解的存在，其存在性不仅在理论上而且在应用上都是很重要的．
In this paper, using mountain pass lemma and continuously(compactly)embed-ding theorem, we in vestigate the exixtence of generalized solutions of a class of semilinear Dirichlet boundary value problem. This result is useful in application of theory.
出处
《贵州大学学报（自然科学版）》
1997年第3期189-192,共4页
Journal of Guizhou University:Natural Sciences
关键词
连续嵌入定理
泛函
Dirichlet边值
广义解
Frechlet differentiability, Embedding theorem, Mountain pass lemma,P.S.condition, Caratheodory condition
