一类含Hardy-Leray势的分数阶p-Laplacian方程解的单调性和对称性  

Monotonicity and Symmetry of Solutions for Fractional p-Laplacian Equations with Hardy-Leray Potential

作　　者：蒋艳琳 沃维丰 JIANG Yanlin;WO Weifeng(School of Mathematics and Statistics,Ningbo University,Ningbo 315000,China)

机构地区：[1]宁波大学数学与统计学院,浙江宁波315000

出　　处：《应用数学》2022年第1期22-29,共8页Mathematica Applicata

基　　金：国家自然科学基金(11971251);浙江省自然基金(LY20A010011)。

摘　　要：本文研究在有界域和无界域上含Hardy-Leray势的分数阶p-Laplacian方程,运用移动平面法,得到该方程正解的单调性和对称性,并将带Hardy-Leray势的分数阶方程解的对称性结果推广到更一般的分数阶p-Laplacian方程.In this paper, we study the fractional p-Laplacian equations with Hardy-Leray potential in bounded and unbounded domains. We obtain the monotonicity and symmetry of the positive solutions of the equations by the method of moving planes. The symmetric results of the solutions of fractional equations with Hardy-Leray potential are extended to the more general fractional p-Laplacian equations.

关 键 词：Hardy-Leray势 分数阶p-Laplacian 对称性 移动平面法 

分 类 号：O175.25[理学—数学]