@article{LaMao2022, 
author = {CaiDan LaMao and Shuibo Huang and Qiaoyu Tian and Canyun Huang},
title = {Regularity results of solutions to elliptic equations involving mixed local and nonlocal operators},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {3},
pages = {4199-4210},
keywords = {fractional elliptic equations, mixed local and nonlocal operators, summability},
url = {https://www.sciopen.com/article/10.3934/math.2022233},
doi = {10.3934/math.2022233},
abstract = {In this paper, we study the summability of solutions to the following semilinear elliptic equations involving mixed local and nonlocal operators         {                            −          Δ          u          (          x          )          +                                                    (                −                Δ                )                                            s                                              u          (          x          )          =          f          (          x          )          ,                          x          ∈          Ω          ,                                      u          (          x          )          ≥          0          ,                                                                            x          ∈          Ω          ,                                      u          (          x          )          =          0          ,                                                                            x          ∈                                                                      R                                                            N                                              ∖          Ω          ,                        where    0  <  s  <  1,    Ω  ⊂            R        N   is a smooth bounded domain,    (  −  Δ      )    s   is the fractional Laplace operator,    f is a measurable function.}
}