含Hardy-Sobolev临界指数的分数阶Kirchhoff型方程多重解的存在性  

Existence of Multiple Solutions for Fractional Kirchhoff Equations with Hardy-Sobolev Critical Exponents

作　　者：李时雨 魏公明[1] 

机构地区：[1]上海理工大学理学院,上海

出　　处：《应用数学进展》2021年第2期518-530,共13页Advances in Applied Mathematics

摘　　要：本文主要研究了一类Kirchhoff型临界分数阶椭圆方程:其中和q∈(1,2)为常数,且为ℝ3上的Hardy-Sobolev指数。对f(x)提供合适的假设后,利用Nehari流形和纤维映射法证明方程多重解的存在性。In this paper, we study a class of critical fractional elliptic problems of Kirchhoff type: where and q∈(1,2) are constants, and is the Hardy-Sobolev exponent in ℝ3. For a suitable function f(x), we use Nehari manifold and fibering maps to prove the existence of multiple solutions.

关 键 词：Hardy-Sobolev指数 Kirchhoff型 多重解 NEHARI流形 

分 类 号：O17[理学—数学]