Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball

被引：6

作者：

Cao, Linfen ^{[1
]}

Fan, Linlin ^{[1
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Henan, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2023年 / 68卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Method of moving planes; fractional p&q-Laplacian; radial symmetry; monotonicity; MAXIMUM-PRINCIPLES; (P;

D O I：

10.1080/17476933.2021.2009819

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a nonlinear system involving the fractional p&q-Laplacian in the unit ball {(-Delta)(p)(s1) u(x) + (-Delta)(q)(s2)u(x) = u(x)(v(x))(beta), x is an element of B-1(0), (-Delta)(p)(s1)v(x) + (-Delta)(q)(s2)v(x) = v(x)(u(x))(alpha), x is an element of B-1(0), u = v = 0, x is an element of R-n\B-1(0), where 0 < s(1), s(2) < 1, p, q > 2, alpha, beta > 1. By using the direct method of moving planes, we prove that the positive solutions (u, v) of the system must be radially symmetric and monotone decreasing about the origin.

引用

页码：667 / 679

页数：13

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