@article{Zhang2023, 
author = {Tao Zhang and Tingzhi Cheng},
title = {A priori estimates of solutions to nonlinear fractional Laplacian equation},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {2},
pages = {1119-1133},
keywords = {a priori estimates, fractional Laplacian, nonlocal problems},
url = {https://www.sciopen.com/article/10.3934/era.2023056},
doi = {10.3934/era.2023056},
abstract = {In this paper, we focus on the research of a priori estimates of several types of semi-linear fractional Laplacian equations with a critical Sobolev exponent. Employing the method of moving planes, we can achieve a priori estimates which are closely connected to the existence of solutions to nonlinear fractional Laplacian equations. Our result can extend a priori estimates of the second order elliptic equation to the fractional Laplacian equation and we believe that the method used here will be applicable to more general nonlocal problems.}
}