Comptes Rendus
no. 5
Partial Differential Equations
A uniqueness result for monotone elliptic problems
[Un résultat d'unicité pour des problèmes elliptiques monotones]

Présenté par : Haïm Brezis

Maria Michaela Porzio1
1 Facoltá di Scienze, Università del Sannio, via Port'Arsa 11, 82100 Benevento, Italy
Comptes Rendus. Mathématique, Volume 337 (2003) no. 5, pp. 313-316.

We give here a short proof of the uniqueness of entropy solutions for nonlinear monotone elliptic problems with L1-data.

Nous donnons une demonstration très simple de l'unicité des solutions entropiques de problèmes de Dirichlet dans L1.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00347-9

Maria Michaela Porzio 1

1 Facoltá di Scienze, Università del Sannio, via Port'Arsa 11, 82100 Benevento, Italy 
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Maria Michaela Porzio. A uniqueness result for monotone elliptic problems. Comptes Rendus. Mathématique, Volume 337 (2003) no. 5, pp. 313-316. doi : 10.1016/S1631-073X(03)00347-9. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00347-9/

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  • Lucio Boccardo; Lourdes Moreno-Mérida W1,1(ω) solutions of nonlinear problems with nonhomogeneous Neumann boundary conditions, Milan Journal of Mathematics, Volume 83 (2015) no. 2, pp. 279-293 | DOI:10.1007/s00032-015-0235-0 | Zbl:1336.35163
  • Lucio Boccardo; Alessio Porretta Uniqueness for elliptic problems with Hölder–type dependence on the solution, Communications on Pure and Applied Analysis, Volume 12 (2012) no. 4, p. 1569 | DOI:10.3934/cpaa.2013.12.1569
  • Lucio Boccardo; Thierry Gallouët W01,1 solutions in some borderline cases of Calderón-Zygmund theory, Journal of Differential Equations, Volume 253 (2012) no. 9, pp. 2698-2714 | DOI:10.1016/j.jde.2012.07.003 | Zbl:1266.35045

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