In this Note we prove an a priori estimate and the existence of a solution for a class of nonlinear elliptic problems whose model is - div A(x)Du + α0u = γ Du q + f(x), when 1 < q < 2 and f ∈ Lm(Ω) for some suitable m. The main interest of the result lies in the a priori estimate, the complete proof of which is given in the Note. © 2005 Académie des sciences. Published by Elsevier SAS. All rights reserved.

Grenon, N., Murat, F., Porretta, A. (2006). Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms [Existence et estimation a priori pour des problèmes elliptiques avec des termes sous quadratiques par rapport au gradient]. COMPTES RENDUS MATHÉMATIQUE, 342(1), 23-28 [10.1016/j.crma.2005.09.027].

Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms [Existence et estimation a priori pour des problèmes elliptiques avec des termes sous quadratiques par rapport au gradient]

PORRETTA, ALESSIO
2006-01-01

Abstract

In this Note we prove an a priori estimate and the existence of a solution for a class of nonlinear elliptic problems whose model is - div A(x)Du + α0u = γ Du q + f(x), when 1 < q < 2 and f ∈ Lm(Ω) for some suitable m. The main interest of the result lies in the a priori estimate, the complete proof of which is given in the Note. © 2005 Académie des sciences. Published by Elsevier SAS. All rights reserved.
2006
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - ANALISI MATEMATICA
English
Grenon, N., Murat, F., Porretta, A. (2006). Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms [Existence et estimation a priori pour des problèmes elliptiques avec des termes sous quadratiques par rapport au gradient]. COMPTES RENDUS MATHÉMATIQUE, 342(1), 23-28 [10.1016/j.crma.2005.09.027].
Grenon, N; Murat, F; Porretta, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/38890
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