no. 9-10
Partial Differential Equations
Existence of solutions for semilinear elliptic problems in exterior of ball
[Existence des solutions pour des problèmes elliptiques non linéaires à extérieur de la boule]

Présenté par : Haïm Brezis

Bellazzini, Jacopo1
1 Dipartimento di Matematica Applicata Università di Pisa, Via Buonarroti 1/C, 56127 Pisa, Italy
Comptes Rendus. Mathématique, Tome 348 (2010) no. 9-10, pp. 545-548.

Dans cette Note, nous demontrons l'existence d'une solution pour des équation elliptiques non linéaires in Ω=B(0,R)c, N⩾3

−Δu=G′(u),
pour a general nonlinéarité G.

We prove the existence of solutions for the semilinear elliptic problem in Ω=B(0,R)c, N⩾3.

−Δu=G′(u),
under suitable general assumptions on the nonlinear term G.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.03.017
Bellazzini, Jacopo 1

1 Dipartimento di Matematica Applicata Università di Pisa, Via Buonarroti 1/C, 56127 Pisa, Italy 
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Bellazzini, Jacopo. Existence of solutions for semilinear elliptic problems in exterior of ball. Comptes Rendus. Mathématique, Tome 348 (2010) no. 9-10, pp. 545-548. doi : 10.1016/j.crma.2010.03.017. http://www.numdam.org/articles/10.1016/j.crma.2010.03.017/

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