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

页码：1791 / 1804

页数：14

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