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椭圆边值问题之非平凡多解

Non-trivial Solutions for Elliptic Boundary Problem
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摘要 利用空间H01(Ω)的正交分解性,结合Ambrosetti与Rabinowitz的山路引理,证得一类椭圆方程非平凡解的存在性. Existence theorem of a pair of non-trivial solutions for a class of semilinear elliptic equations was given by ways of the orthogonal decomposition of the Sobolev space and of the Mountain-pass lemma of Ambrosetti and Rabinowitz.
作者 饶若峰
机构地区 肇庆学院数学系
出处 《肇庆学院学报》 2006年第5期8-9,共2页 Journal of Zhaoqing University
基金 肇庆学院青年科学研究基金资助项目
关键词 半线性椭圆方程 山路引理 特征值 semilinear elliptic equation Mountain-pass lemma eigenvablue
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