一类Dirichlet问题的多解存在性
일류Dirichlet문제적다해존재성
Existence of Multiple Solutions for a Class of Dirichlet Problem
  • 万方数据
    大学数学 대학수학
    COLLEGE MATHEMATICS
    2012年 6期 63-66 ,共4页

    王雄瑞

    왕웅서

    Dirichlet问题%形变引理%亏格 Dirichlet問題%形變引理%虧格
    Dirichlet문제%형변인리%우격
    Dirichlet problem%deformation lemma%genus
    利用H_0^1（Ω）空间分解以及亏格和形变引理给出了半线性椭圆方程-△=g（x，μ）的Dirichlet问题无穷多解的存在性定理．
    이용H_0^1（Ω）공간분해이급우격화형변인리급출료반선성타원방정-△=g（x，μ）적Dirichlet문제무궁다해적존재성정리．
    By ways of the orthogonal decomposition on H_0^1 (Ω) ,genus and the Deformation Lemma, the author has obtained infinitely many solutions for a class of semilinear elliptic equations- △ u = g(x ,μ) .
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