Existence of Multiple Solutions for Fractional p-Kirchhoff Equation with Critical Sobolev Exponent

被引：1
|
作者：
Jiao, Caizhen [1 ]
Pei, Ruichang [2 ]
机构：
[1] Northwest Normal Univ, Coll Educ, Lanzhou 730070, Peoples R China
[2] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 04期
关键词：
Fractional p-Kirchhoff equation; multiplicity; critical nonlinearity; POSITIVE SOLUTIONS;
D O I：
10.1007/s00009-023-02409-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using the concentration-compactness principle and a version of the symmetry mountain pass theorem, we show the existence and multiplicity of solutions to the following fractional p-Kirchhoff equations with critical nonlinearity: [GRAPHICS] . where a, b > 0 are constants, (-Delta)(p)(s) is the fractional p-Laplacian operator with 0 < s < 1 < p < infinity, Omega is a bounded domain in R-N with smooth boundary, 2sp > N > sp, mu is a positive parameter and f : Omega x R -> R is a Caratheodory function.
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收藏
页数：17
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