Regularity results of solutions to elliptic equations involving mixed local and nonlocal operators

In this paper, we study the summability of solutions to the following semilinear elliptic equations involving mixed local and nonlocal operators $ \left\{ \begin{matrix} - \Delta u(x)+{{(-\Delta )}^{s}}u(x)=f(x), & x\in \Omega , \\ u(x)\ge 0,~~~~~ & x\in \Omega , \\ u...

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Bibliographic Details
Main Authors: CaiDan LaMao, Shuibo Huang, Qiaoyu Tian, Canyun Huang
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022233?viewType=HTML