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.

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

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

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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  • Maria Michaela Porzio; Flavia Smarrazzo Existence and uniqueness for a class of nonlinear elliptic equations with measure data, Annali di Matematica Pura ed Applicata (1923 -), Volume 201 (2022) no. 2, p. 499 | DOI:10.1007/s10231-021-01126-1
  • Maria Michaela Porzio; Flavia Smarrazzo Radon measure-valued solutions for some quasilinear degenerate elliptic equations, Annali di Matematica Pura ed Applicata (1923 -), Volume 194 (2015) no. 2, p. 495 | DOI:10.1007/s10231-013-0386-y
  • 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 Gallouet W01,1solutions in some borderline cases of Calderon–Zygmund theory, Journal of Differential Equations, Volume 253 (2012) no. 9, p. 2698 | DOI:10.1016/j.jde.2012.07.003

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