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

被引：0
作者：
Cao, Linfen [1 ]
Fan, Linlin [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2022年 / 12卷 / 02期
关键词：
Method of moving planes; Fractional p&q-Laplacian; Radial symmetry; Monotonicity; ELLIPTIC PROBLEM; RADIAL SYMMETRY; (P;
D O I：
10.1007/s13324-022-00652-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a nonlinear system involving the fractional p&q-Laplacian in R-n { (-Delta)(p)(s1) u(x) + (-Delta(s2)(q) u(x) = f (u(x), v(x)), x is an element of R-n, (-Delta)(p)(s1) u(x) + (-Delta(s2)(q) u(x) = g (u(x), v(x)), x is an element of R-n, u, v > 0, x is an element of R-n. where 0 < s(1), s(2) < 1, p, q > 2. By using the direct method of moving planes, we prove that the positive solution (u, v) of system above must be radially symmetric and monotone decreasing in the whole space.
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页数：15
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