SYMMETRY AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR FRACTIONAL CHOQUARD EQUATIONS

被引：12

作者：

Ma, Pei ^{[1
,2
]}

Shang, Xudong ^{[3
]}

Zhang, Jihui ^{[4
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing, Peoples R China

[2] Nanjing Forestry Univ, Coll Sci, Nanjing, Peoples R China

[3] Nanjing Normal Univ, Taizhou Coll, Taizhou, Peoples R China

[4] Nanjing Normal Univ, Jiangsu Key Lab NSLSCS, Sch Math Sci, Nanjing, Peoples R China

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2020年 / 304卷 / 01期

关键词：

The method of moving planes; fractional Laplacian; Choquard equation;

D O I：

10.2140/pjm.2020.304.143

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to study the following Choquard equation: (-Delta)(alpha/2)u = (vertical bar x vertical bar(beta-n) * u(p))u(p-1), u >= 0, x is an element of R-n, where 0 < alpha, beta < 2, 1 <= p < infinity, and n >= 2. Using a direct method of moving planes, we prove the symmetry and nonexistence of positive solutions in the critical and subcritical cases respectively.

引用

页码：143 / 167

页数：25

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