Existence and uniqueness results for a class of nonlinear and noncoercive problems;Résultas d'existence et d'unicité pour une classe de problèmes non linéaires et non coercifs

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 329, Issue 11, 1999, Pages 967-972

  Ben Cheikh Ali, Mohsen ^a   Guibé, Olivier ^a  

^a UNIVERSITÉ DE ROUEN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033451347     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)88587-0     Document Type: Article

References (12)

1. Adams R.A., Sobolev Spaces, Academic Press, 1975.
2. Ben Cheikh Ali M., Homogenization of Renormalized Solution of Elliptic Equations in Perforated Domain, (en préparation).
3. 1-theory of existence and uniqueness of solutions of nonlinear elliptic equations, Ann. Scuola Norm. Sup. Pisa 22 (1995) 241-273.
4. Betta A., Mercaldo F., Murat F., Porzio M., Nonlinear Elliptic Problems with Lower Order Terms and Right Hand Side Measure, (en préparation).
5. Boccardo L., Gallouët T., Nonlinear elliptic equations with right hand side measures, Commun. Partial Differ. Eq. 17 (3-4) (1992) 641-655.
6. Boccardo L., Giachetti D., Diaz J.I., Murat F., Existence and regularity of renormalized solutions for some elliptic problems involving derivations of nonlinear terms, J. Differ. Eq. 106 (1993) 215-237.
7. 1 data. Application to the H-convergence of parabolic quasi-linear equations, Ann. Mat. Pura Appl. 170 (1996) 207-240.
8. Del Vecchio T., Posteraro M.R., An existence result for nonlinear and noncoercive problems, Nonlinear Anal., Theory Methods Appl. 31 (1-2) (1998) 191-206.
9. DiPerna R.J., Lions P.-L., On the cauchy problem for Boltzmann equations: Global existence and weak stability, Ann. Math. 130 (2) (1989) 321-366.
10. Liang J., Weakly-coercive quasilinear elliptic equations with inhomogenous measure data, Progress in Partial Differential Equations: Elliptic and Parabolic Problems, Pitman Research Notes in Math. 266, 1992.
11. Lions P.-L., Murat F., Solutions Renormalisées D'équations Elliptiques, (en préparation).
12. Murat F., Soluciones renormalizadas de EDP elipticas non lineales, Rapport Technique R93023, Laboratoire d'analyse numérique, Paris VI, 1993 ; Cours à l'Université de Séville.