On the Kirchhoff problems involving critical Sobolev exponent

被引：6
|
作者：
Xie, Weihong [1 ]
Chen, Haibo [1 ]
机构：
[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 105卷 / 105期
基金：
中国国家自然科学基金;
关键词：
Kirchhoff type problems; Finite-dimensional reduction; Critical Sobolev exponent; Nondegeneracy; GROUND-STATE SOLUTIONS; POSITIVE SOLUTIONS; EQUATIONS;
D O I：
10.1016/j.aml.2020.106346
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the following Kirchhoff type problem -(a + b integral(RN) vertical bar del u vertical bar(2)) Delta u = lambda K(x)u(q-1) + u(2)*(-1), u > 0, x is an element of R-N, (0.1) where N >= 3, K is an element of L-1(R-N) boolean AND L-infinity(R-N), constants a, b > 0, the parameter lambda > 0 and 2 <= q < 2* := 2N/( N - 2). Using the finite-dimensional reduction approach, we prove that problem (0.1) admits at least a positive solution. (C) 2020 Elsevier Ltd. All rights reserved.
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收藏
页数：6
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