A Global Compactness type result for Palais-Smale sequences in fractional Sobolev spaces

被引：44

作者：

Palatucci, Giampiero ^{[1
,2
]}

Pisante, Adriano ^{[3
]}

机构：

[1] Univ Parma, Dipartimento Matemat & Informat, Campus Parco Area Sci 53-A, I-43124 Parma, Italy

[2] SISSA, I-34136 Trieste, Italy

[3] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 117卷

关键词：

Profile decomposition; Global compactness; Fractional Sobolev; Critical Sobolev exponent; EQUATIONS;

D O I：

10.1016/j.na.2014.12.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the global compactness result by Struwe (1984) to any fractional Sobolev spaces (H) over dot(s)(Omega), for 0 < s < N/2 and Omega subset of R-N a bounded domain with smooth boundary. The proof is a simple direct consequence of the so- called profile decomposition of Gerard (1998). (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：1 / 7

页数：7

共 18 条

[1]

[Anonymous], 2011, CONFLUENTES MATH

[2]

[Anonymous], 2014, MATHEMATIC

[3] POSITIVE SOLUTIONS OF NON-LINEAR ELLIPTIC-EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS [J].