Signed and sign-changing solutions for a Kirchhoff-type problem involving the fractional p-Laplacian with critical Hardy nonlinearity

被引：4
|
作者：
Gabert, Rodrigo F. [1 ]
Rodrigues, Rodrigo S. [1 ]
机构：
[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 02期
关键词：
critical exponents; fractional p-Laplacian; Kirchhoff problem; NONLOCAL PROBLEMS; EXISTENCE; EQUATION; ENERGY;
D O I：
10.1002/mma.5979
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 three solutions for a Kirchhoff equation involving the nonlocal fractional p-Laplacian considering Sobolev and Hardy nonlinearities at subcritical and critical growths. The proof is based on mountain pass theorem and constrained minimization in Nehari sets.
引用
收藏
页码：968 / 995
页数：28
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