带Hardy位势分数阶Laplace方程解的单调性

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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.

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关键词 ：分数阶Laplace算子, Hardy位势, sliding方法, 单调性

Abstract：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.

Key words： fractional Laplace operator Hardy potential sliding method monotonicity

收稿日期: 2022-04-07