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
摘要: 本文主要研究了一类Kirchhoff型临界分数阶椭圆方程：
Abstract: 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.
文章引用：李时雨, 魏公明. 含Hardy-Sobolev临界指数的分数阶Kirchhoff型方程多重解的存在性[J]. 应用数学进展, 2021, 10(2): 518-530. https://doi.org/10.12677/AAM.2021.102056

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