Factorization into k-bubbles for Palais-Smale maps to potential type energy functionals

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:408

Article

Montenegro, Marcos¹  Souza, Gil F.² 

[1] Univ Fed Minas Gerais, Dept Matemat, BR-30123970 Belo Horizonte, MG, Brazil

[2] Univ Fed Ouro Preto, Dept Matemat, BR-35400000 Ouro Preto, MG, Brazil

关键词: Critical Sobolev exponents;    Potential systems;    Bubbles;    Compactness;   

DOI  :  10.1016/j.jmaa.2013.03.052

来源: Elsevier

【 摘 要 】

We prove a decomposition into generalized bubbles for Palais-Smale sequences associated with potential energy functionals for vector-valued function spaces. The study is motivated by the compactness question for solutions of critical potential systems, for which the existence problem was recently addressed. We also present some examples of the existence of radial generalized bubbles. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free