Classification of positive solutions of semilinear elliptic equations

Busca, Jérôme; Efendiev, Messoud; Zelik, S.

doi:10.1016/j.crma.2003.10.038

Partial Differential Equations

Classification of positive solutions of semilinear elliptic equations
[Classification des solutions positives d'une EDP semi-linéaire]

Présenté par : Haïm Brezis

Busca, Jérôme ¹ ; Efendiev, Messoud ² ; Zelik, S.³

¹ CNRS and Ceremade, Université Paris Dauphine, place Maréchal de Lattre de Tassigny, 75775 Paris cedex 16, France
² Lehrstuhl für Analysis und Modellierung, Universität zu Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
³ CNRS and laboratoire de mathématiques, Université de Poitiers, SP2MI, téléport 2, boulevard Marie et Pierre Curie, BP 30179, 86962 Futuroscope cedex, France

Comptes Rendus. Mathématique, Tome 338 (2004) no. 1, pp. 7-11.

Résumé
Abstract

Nous donnons une classification de toutes les solutions d'une EDP semi-linéaire générale dans le quadrant positif de $ℝ^{2}$ .

We give a classification of all solutions of a general semilinear PDE in the positive quadrant of $ℝ^{2}$ .

Reçu le : 2003-10-24
Accepté le : 2003-10-24
Publié le : 2003-12-19

DOI : 10.1016/j.crma.2003.10.038

Affiliations des auteurs :

Busca, Jérôme ¹ ; Efendiev, Messoud ² ; Zelik, S. ³

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     title = {Classification of positive solutions of semilinear elliptic equations},
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Busca, Jérôme; Efendiev, Messoud; Zelik, S. Classification of positive solutions of semilinear elliptic equations. Comptes Rendus. Mathématique, Tome 338 (2004) no. 1, pp. 7-11. doi : 10.1016/j.crma.2003.10.038. http://archive.numdam.org/articles/10.1016/j.crma.2003.10.038/

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