The Dirichlet problem for nonlocal elliptic equations

被引：5

作者：

Tian, Rongrong ^{[1
,2
]}

Wei, Jinlong ^{[3
]}

Tang, Yanbin ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan, Hubei, Peoples R China

[2] Wuhan Univ Technol, Coll Sci, Wuhan, Hubei, Peoples R China

[3] Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan, Hubei, Peoples R China

来源：

APPLICABLE ANALYSIS | 2021年 / 100卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Vanishing viscosity solution; existence; uniqueness; measure-valued nonlocal equation; FRACTIONAL LAPLACIAN; VISCOSITY SOLUTIONS; INVARIANT-MEASURES; REGULARITY; DIFFUSION; DRIVEN; SYSTEMS;

D O I：

10.1080/00036811.2019.1677893

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of nonlocal elliptic equations on a bounded domain . For (), by the Lax?Milgram theorem and the De Giorgi iteration, we prove the existence and uniqueness of solution. Furthermore, we investigate the existence of densities for measure-valued solutions to nonhomogeneous measure-valued nonlocal elliptic equations.

引用

页码：2093 / 2107

页数：15

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