QUALITATIVE PROPERTIES OF SOLUTIONS TO SOME HARDY AND HENON TYPE PROBLEMS INVOLVING THE FRACTIONAL p-LAPLACIAN

被引：0

作者：

Cai, Miaomiao ^{[1
]}

Li, Fengquan ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2021年 / 22卷 / 04期

基金：

美国国家科学基金会;

关键词：

The fractional p-Laplacian; method of moving planes; symmetry; monotonicity; nonexistence; MOVING PLANES; MAXIMUM-PRINCIPLES; POSITIVE SOLUTIONS; EXTENSION PROBLEM; ELLIPTIC PROBLEM; RADIAL SYMMETRY; EQUATIONS; UNIQUENESS; THEOREM; BOUNDS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study qualitative properties of solutions to Hardy type problems and Henon type problems involving the fractional p-Laplacian. Symmetry and monotonicity results are proved. In particular, as p = 2, by a comparison with the first eigenfunction associated with the fractional Laplacian, we obtain a nonexistence result for a Henon type problem on unbounded domain.

引用

页码：855 / 870

页数：16

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