Positive solutions of Kirchhoff type problems with critical growth on exterior domains

被引：1

作者：

Dai, Ting-Ting ^{[1
]}

Ou, Zeng-Qi ^{[1
]}

Tang, Chun-Lei ^{[1
]}

Lv, Ying ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2024年 / 14卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Sobolev critical exponent; Barycenter function; Brouwer degree theory; Exterior domain; SUPERCRITICAL ELLIPTIC PROBLEMS; GROUND-STATE SOLUTIONS; NODAL SOLUTIONS; EXISTENCE; EQUATIONS; MULTIPLICITY;

D O I：

10.1007/s13324-024-00944-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions for a class of Kirchhoff equation with critical growth - a + b |.u|2dx u + V(x)u = u5 in , u. D1,2 0 (), where a > 0, b > 0, V. L 3 2 () is a given nonnegative function and . R3 is an exterior domain, that is, an unbounded domain with smooth boundary. = O such that R3\ non-empty and bounded. By using barycentric functions and Brouwer degree theory to prove that there exists a positive solution u. D1,2 0 () if R3\ is contained in a small ball.

引用

页数：32

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