Symmetry of positive solutions for Choquard equations with fractional p-Laplacian

被引：27

作者：

Ma, Lingwei ^{[1
]}

Zhang, Zhenqiu ^{[1
,2
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 182卷

基金：

中国国家自然科学基金;

关键词：

Fractional p-Laplacian; Choquard equations; Direct method of moving planes; Radial symmetry; MAXIMUM-PRINCIPLES; ELLIPTIC PROBLEM;

D O I：

10.1016/j.na.2018.12.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the following Choquard equations with fractional p-Laplacian { (-Delta)(p)(s)u = C-n,C-t (vertical bar x vertical bar(2t-n) * u(q)) u(q-1) in R-n, u > 0 on R-n, where 0 < s, t < 1, 2 < p < infinity, p - 1 < q < infinity and n >= 2. By constructing a decay at infinity theorem and a narrow region principle, we establish the radial symmetry of positive solutions based on the generalized direct method of moving planes. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：248 / 262

页数：15

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