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.

引用

页数：17

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