A priori estimates of solutions to nonlinear fractional Laplacian equation-Reference-Cited by-同舟云学术

A priori estimates of solutions to nonlinear fractional Laplacian equation

Published:2022 Issue:2 Volume:31 Page:1119-1133
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Zhang Tao¹,Cheng Tingzhi²

Affiliation:

1. School of Mathematics and Information Science, Yantai University, Yantai 264005, China

2. School of Mathematics and Statistics Science, Ludong University, Yantai 264025, China

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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