On strongly indefinite systems involving the fractional Laplacian

被引：14
作者：
Choi, Woocheol [1 ]
机构：
[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 120卷
关键词：
The Lane-Emden system; Strongly indefinite system; The fractional Laplacian; A priori estimates; NONLINEAR SCHRODINGER-EQUATIONS; POSITIVE SOLUTIONS; GROUND-STATES; CLASSIFICATION; REGULARITY; THEOREMS; SOBOLEV; WAVES;
D O I：
10.1016/j.na.2015.03.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to study strongly indefinite systems involving the fractional Laplacian on bounded domains. Explicitly, we obtain existence and non-existence results, a priori estimates of Gidas-Spruck type, and a symmetry result. In addition, we give a different proof for the a priori estimate for nonlinear elliptic problems with the fractional Laplacian obtained in Cabre and Tan (2010) and Tan ( 2013). (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：127 / 153
页数：27
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