带Hardy位势分数阶Laplace方程解的单调性  

Monotonicity of solutions of fractional Laplace equations with Hardy potential

作　　者：管睿[1] 沃维丰 GUAN Rui;WO Weifeng(School of Mathematics and Statistics, Ningbo University, Ningbo 315211, Zhejiang, China)

机构地区：[1]宁波大学数学与统计学院,浙江宁波315211

出　　处：《华中师范大学学报（自然科学版）》2022年第2期231-235,共5页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(11971251);浙江省自然科学基金项目(LY20A010011).

摘　　要：研究了半空间上带Hardy位势的分数阶Laplace方程的De Giorgi型边值问题.运用sliding方法,证明了解的单调性.In this paper,the De Giorgi type boundary value problem of the fractional Laplace equation with Hardy potential on the half space is studied.By the sliding method,the monotonicity of the solution is derived.

关 键 词：分数阶Laplace算子 HARDY位势 sliding方法 单调性 

分 类 号：O175.25[理学—数学]