Asymptotic Behaviors of Solutions to Quasilinear Elliptic Equation with Hardy Potential and Critical Sobolev Exponent

被引：0

作者：

Pu, Ma ^{[1
]}

Huang, Shuibo ^{[1
]}

Tian, Qiaoyu ^{[1
]}

机构：

[1] Northwest Minzu Univ, Sch Math & Comp Sci, Lanzhou 730030, Gansu, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2023年 / 22卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Quasilinear elliptic equations; Asymptotic behaviors; Critical Sobolev exponent; POSITIVE SOLUTIONS;

D O I：

10.1007/s12346-023-00847-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we mainly consider the asymptotic behaviors of positive weak solutions to the following critical quasilinear elliptic equation with Hardy potential -div (|del u|(p-2)del u/|x|(ap) ) - gamma u(p-1)/|x|((a+1)) p = u(pa,b*-1)/|x|(bpa,b)*, x is an element of R-N, where 1 < p < N, 0 <= a < N- p/p, a <= b < a + 1, 0 <= gamma < (N-(a+1)p/p)(p) and p(a,b)* = Np/N-(a+1-b)p. The main results of this paper generalize the some related works of [8, 23].

引用

页数：31

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