廖家锋, 薛艳蚄. 一类奇异半线性椭圆方程解的存在性的注记[J]. 信阳师范学院学报(自然科学版), 2010, 23(1): 19-22.
引用本文: 廖家锋, 薛艳蚄. 一类奇异半线性椭圆方程解的存在性的注记[J]. 信阳师范学院学报(自然科学版), 2010, 23(1): 19-22.
A Remark on the Existence of Soulutions for a Class of Singular Semilinear Elliptic Equation[J]. Journal of Xinyang Normal University (Natural Science Edition), 2010, 23(1): 19-22.
Citation: A Remark on the Existence of Soulutions for a Class of Singular Semilinear Elliptic Equation[J]. Journal of Xinyang Normal University (Natural Science Edition), 2010, 23(1): 19-22.

一类奇异半线性椭圆方程解的存在性的注记

A Remark on the Existence of Soulutions for a Class of Singular Semilinear Elliptic Equation

  • 摘要: 运用极小作用原理获得了奇异半线性椭圆问题:-△u=u-γ+g(x,u),x∈Ω;u=0,c∈Ω的一个存在性结果,其中ΩRn(n≥3)是一个有界区域,γ是正常数.

     

    Abstract: An existence result is obtained for the solution of the singular semilinear elliptic Dirichlet boundary value problem-u=u-γ+g(x,u) in Ω,u0 in Ω,u=0 on Ω,by the least action principle,where ΩRn(n≥3) is a bounded domain and γ0 is a constant.

     

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