Article ID Journal Published Year Pages File Type
4616559 Journal of Mathematical Analysis and Applications 2013 14 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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