海森堡群上非线性分数子place方程的性质

IF 0.3 4区数学 Q4 MATHEMATICS, APPLIED

Journal of Partial Differential Equations Pub Date : 2019-06-01 DOI:10.4208/JPDE.V32.N1.5

Xin-Guang Yang and Shubin Wang sci

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引用次数: 1

摘要

本文的目的是研究海森堡群上非线性分数阶子place方程解的性质。基于移动平面到Heisenberg群的方法，分别证明了半空间上解的Liouville性质和全群上解的对称性和单调性。AMS学科分类:35A01, 35J57, 35D99

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Properties for Nonlinear Fractional SubLaplace Equations on the Heisenberg Group

The aim of the paper is to study properties of solutions to the nonlinear fractional subLaplace equations on the Heisenberg group. Based on the method of moving planes to the Heisenberg group, we prove the Liouville property of solutions on a half space and the symmetry and monotonicity of the solutions on the whole group respectively. AMS Subject Classifications: 35A01, 35J57, 35D99 Chinese Library Classifications: O175.2

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来源期刊

Journal of Partial Differential Equations MATHEMATICS, APPLIED-

自引率

33.30%

发文量

551