Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities

被引：0

作者：

Nguyen Thanh Chung ^{[1
]}

机构：

[1] Quang Binh Univ, Dept Math, 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2021年 / 9卷 / 02期

关键词：

Kirchhoff type problems; Caffarelli-Kohn-Nirenberg inequalities; Critical exponents; Mountain pass theorem; ELLIPTIC-EQUATIONS; MULTIPLE SOLUTIONS;

D O I：

10.22034/cmde.2020.32848.1526

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 a nontrival weak solution for a class of Kirchhoff type problems with singular potentials and critical exponents. The proofs are essentially based on an appropriated truncated argument, Caffarelli-Kohn-Nirenberg inequalities, combined with a variant of the concentration compactness principle. We also get a priori estimates of the obtained solution.

引用

页码：589 / 603

页数：15

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