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Global compactness results for quasilinear elliptic problems with combined critical Sobolev–Hardy terms

✍ Scribed by Yuanyuan Li; Qianqiao Guo; Pengcheng Niu

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 330 KB
Volume: 74
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2010.10.018

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✦ Synopsis

In this paper, we study the global compactness results for quasilinear elliptic problems involving combined critical Sobolev-Hardy terms on the whole space and a bounded smooth domain, respectively. That is, we give the complete descriptions for the Palais-Smale (PS) sequences of the corresponding energy functionals. By using these descriptions, the existence results of solutions are also obtained.

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