临界增长条件下一类半线性椭圆方程解的存在性

Existence of Solutions for a Class of Semilinear Elliptic Equations in the critical growth Case

用变分方法研究了半线性椭圆方程Dirichlet边值问题-Δμ=f(x,μ)+h(x)对几乎所有的x∈Ω,μ=0在Ω上解的存在性,在临界增长情况下得到了所解的一个存在性定理.

The existence are studied for solutions of the Dirichlet boundary Valve problem for semilinear elliptic equations. -Δμ=f(x,μ)+h(x) for a.e. x∈Ω,μ=0 on Ω by the Variational methods.An existence theorem is obtained for problem in the critical growth case.