Anisotropic entire large solutions

Dupaigne, Louis

doi:10.1016/j.crma.2011.05.002

Partial Differential Equations

Anisotropic entire large solutions
[Solutions entières, explosives et anisotropes]

Présenté par : Haïm Brezis

Dupaigne, Louis ¹

¹ LAMFA, UMR CNRS 6140, Université Picardie Jules Verne, 33 rue St Leu, 80039 Amiens, France

Comptes Rendus. Mathématique, Tome 349 (2011) no. 11-12, pp. 653-656.

Résumé
Abstract

Pour $q \in (0, 1]$ , nous construisons des solutions globales, explosives, et non radiales de lʼéquation $Δ u = u^{q}$ dans $R^{N}$ .

Given $q \in (0, 1]$ , we construct nonradial entire large solutions to the equation $Δ u = u^{q}$ in $R^{N}$ .

Reçu le : 2011-04-11
Accepté le : 2011-05-02
Publié le : 2011-05-17

DOI : 10.1016/j.crma.2011.05.002

Affiliations des auteurs :

Dupaigne, Louis ¹

¹ LAMFA, UMR CNRS 6140, Université Picardie Jules Verne, 33 rue St Leu, 80039 Amiens, France

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     author = {Dupaigne, Louis},
     title = {Anisotropic entire large solutions},
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     pages = {653--656},
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Dupaigne, Louis. Anisotropic entire large solutions. Comptes Rendus. Mathématique, Tome 349 (2011) no. 11-12, pp. 653-656. doi : 10.1016/j.crma.2011.05.002. http://www.numdam.org/articles/10.1016/j.crma.2011.05.002/

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