Phase plane analysis and classification of solutions of a mixed sublinear-superlinear elliptic problem |
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Authors: | Anouar Ben Mabrouk Mohamed Lakdar Ben Mohamed |
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Affiliation: | Computational Mathematics Laboratory, Department of Mathematics, Faculty of Sciences, 5019 Monastir, Tunisia |
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Abstract: | 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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Keywords: | 35J60 35B05 35P30 |
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