A direct method of moving planes for the fractional p-Laplacian system with negative powers

被引：1

作者：

Qie, Minghui ^{[1
]}

Lu, Zhongxue ^{[1
]}

Zhang, Xin ^{[1
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年 / 54卷 / 02期

关键词：

The fractional p-Laplacian with negative powers; Decay at infinity; A boundary estimate; Method of moving planes; Radial symmetry; Monotonicity; LIOUVILLE TYPE THEOREM; MAXIMUM-PRINCIPLES; POSITIVE SOLUTIONS; RADIAL SYMMETRY; NONEXISTENCE; EQUATION; UNIQUENESS; REGULARITY; STATES;

D O I：

10.1007/s13226-022-00257-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the direct method of moving planes for the fractional p-Laplacian system with negative powers. The key theorems are decay at infinity and a boundary estimate in the direct method of moving planes. Moreover, we apply the direct method of moving planes to obtain the radial symmetry and monotonicity of the positive solutions for the fractional p-Laplacian system with negative powers in the whole space. We also give one special case.

引用

页码：344 / 358

页数：15

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