A perturbed problem of elliptic system with critical exponent

被引：0

作者：

Li, Qi ^{[1
]}

Zheng, Binbin ^{[2
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Beijing, Peoples R China

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 14期

关键词：

Perturbation argument; Lyapunov-Schmidt reduction method; critical exponent;

D O I：

10.1080/00036811.2021.1877681

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the following perturbed problem with critical exponent {-Delta u = u(2*-1) + alpha/2*u(alpha-1)v(beta) + epsilon K(x)u(p), x is an element of R-N, -Delta v = v(2*-1) + beta/2*u(alpha)v(beta-1) + epsilon Q(x)v(q), x is an element of R-N, (1) u > 0, v > 0, x is an element of R-N, where 1 <= p, q < 2* - 1, alpha + beta = 2* := 2N/N-2, alpha, beta >= 2, N = 3, 4 and epsilon is a parameter. Using a perturbation argument and Lyapunov-Schmidt reduction method, we obtain the existence of positive solutions to problem (1) and the asymptotic property of the solutions.

引用

页码：4982 / 4990

页数：9

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