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.