The Brezis-Nirenberg type problem involving the square root of the Laplacian

被引：240

作者：

Tan, Jinggang ^{[1
,2
]}

机构：

[1] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile

[2] Univ Chile, Dept Ingn Matemat, Santiago, Chile

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 42卷 / 1-2期

关键词：

FRACTIONAL LAPLACIAN; POSITIVE SOLUTIONS; OBSTACLE PROBLEM; BOUNDARY; REGULARITY; EXISTENCE; EQUATIONS;

D O I：

10.1007/s00526-010-0378-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish existence and non-existence results to the Brezis-Nirenberg type problem involving the square root of the Laplacian in a bounded domain with zero Dirichlet boundary condition.

引用

页码：21 / 41

页数：21

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