具有Hardy项的半线性椭圆方程正径向对称解的存在性
Existence of Positive Radial Symmetric Solutions for Semilinear Elliptic Equation with Hardy Exponent
摘要: 本文主要研究了以下具有Dirichlet边界条件的椭圆方程在BR(0)中正径向对称解的存在性:，u>0。其中   且2*(a,s)是临界指数。我们主要利用山路引理、Moser迭代和比较原理证明该方程正径向对称解的存在性。
Abstract: In this paper, we study the existence of positive radial symmetric solutions of , u>0 in BR(0) with Dirichlet boundary condition. Here, and 2*(a,s) is a critical exponent. We mainly prove the existence of positive radial symmetric solution of the equation by using the mountain pass lemma, Moser iteration and comparison principle.
文章引用：李时雨. 具有Hardy项的半线性椭圆方程正径向对称解的存在性[J]. 理论数学, 2021, 11(3): 336-345. https://doi.org/10.12677/PM.2021.113045

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