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Phase plane analysis and classification of solutions of a mixed sublinear-superlinear elliptic problem

✍ Scribed by Anouar Ben Mabrouk; Mohamed Lakdar Ben Mohamed

Book ID: 103848625
Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 619 KB
Volume: 70
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2007.11.041

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✦ Synopsis

In this paper, some mixed sublinear-superlinear critical problem extending the famous problem of Brezis-Nirenberg are analysed. The existence of solutions is discussed. A phase plane analysis is performed in order to transform the problem into an ordinary differential equation. Finally, a full classification of radial solutions according to their behavior at the origin is performed for subcritical, critical and supercritical cases.

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