Existence and uniqueness results for nonlinear elliptic problems with a lower order term and measure datum;Existence et unicité de solutions renormalisées d'équations elliptiques non linéaires avec des termes d'ordre inférieur et données mesures

Comptes Rendus Mathematique

Volumn 334, Issue 9, 2002, Pages 757-762

  Betta, M Francesca ^a   Mercaldo, Anna ^b   Murat, François ^c   Porzio, M Michaela ^d  

^a SECOND UNIVERSITY OF NAPLES   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^c UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^d UNIVERSITY OF SANNIO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012165306     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02338-5     Document Type: Article

References (14)

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3. 1 (Ω), ESAIM Control Optim. Calc. Var., Special issue dedicated to the memory of Jacques-Louis Lions (2002), to appear.
4. M.F. Betta, A. Mercaldo, F. Murat, M.M. Porzio, Uniqueness results for nonlinear elliptic equations with a lower order term, in preparation.
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10. P.-L. Lions, F. Murat, Solutions renormalisées d'équations elliptiques non linéaires, to appear.
11. F. Murat, Soluciones renormalizadas de EDP elipticas no lineales, Preprint 93023, Laboratoire d'Analyse Numérique de l'Université Paris VI, 1993.
12. 1 ou mesure, in: Actes du 26ème Congrès National d'Analyse Numérique, Les Karellis, France, 1994, pp. A12-A24.
13. J. Serrin, Pathological solutions of elliptic differential equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 18 (1964) 385-387.
14. G. Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble) 15 (1965) 189-258.