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一类带Hardy-Sobolev临界指标的半线性椭圆方程特征值问题

Eigenvalue Problem for a Class of Semilinear Elliptic Equations with Hardy-Sobolev Critical Exponents
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摘要 应用集中紧性原理以及极小化极大原理讨论了半线性椭圆方程特征值问题-Δu-μu|x|-2=u|2*(s)-2u|x|-s+λf(x,u)的解的存在性,得到了当λ充分小的时候,该问题有一个非平凡弱解. Use the concentration compactness principle and the minimax principle to study the solution of eigenvalue problem -△u-μu|x|^-2=|u|^2*(s)-2u|x|^-s+λf(x,u) the conclution that when λ is small enough, this problem has a nontrivial weak solution.
作者 林芳
出处 《福建师范大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第3期16-19,共4页 Journal of Fujian Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(10471024) 福建省自然科学基金资助项目(A0410015)
关键词 Hardy—Sobolev不等式 特征值问题 集中紧性 极小化极大原理 Hardy-Sobolev inequality eigenvalue problem concentration compactness principle minimax principle
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