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Phase plane analysis and classification of solutions of a mixed sublinear-superlinear elliptic problem
Journal article   Peer reviewed

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

Anouar Ben Mabrouk and Mohamed Lakdar Ben Mohamed
Nonlinear analysis, Vol.70(1), pp.1-15
01/01/2009
DOI: https://doi.org/10.1016/j.na.2007.11.041

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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. (C) 2007 Elsevier Ltd. All rights reserved.

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