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Existence of entire positive solutions for a critical system of nonlinear elliptic equations

✍ Scribed by Samira Benmouloud; Rachid Echarghaoui; Si. Mohammed Sbaï

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 233 KB
Volume: 74
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2011.06.021

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✦ Synopsis

In this paper, using the fibering method introduced by Pohozaev, we establish an existence of multiple nontrivial positive solutions for a system of nonlinear elliptic equations in R N with lack of compactness studying the properties of Palais-Smale sequence of the energy functional associated with the system.

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