On a fractional Henon equation and applications

被引：3
|
作者：
Sire, Yannick [1 ]
Wei, Jun-Cheng [2 ]
机构：
[1] Univ Aix Marseille, UMR CNRS 7353, LATP, Marseille, France
[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
来源：
MATHEMATICAL RESEARCH LETTERS | 2015年 / 22卷 / 06期
基金：
加拿大自然科学与工程研究理事会;
关键词：
REGULARITY; LAPLACIANS;
D O I：
10.4310/MRL.2015.v22.n6.a13
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate some nonlocal equations in bounded domains for different kinds of operators with power nonlinearities. We prove an existence result in the spirit of an earlier work by W.-M. Ni. As an application, we prove the existence of solutions to nonlocal supercritical equations in the complement of a ball. We prove also some regularity results for higher order nonlocal equations, of independent interest.
引用
收藏
页码：1791 / 1804
页数：14
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