Existence and uniqueness of solutions for nonlinear obstacle problems with measure data

Nonlinear Analysis, Theory, Methods and Applications

Volumn 43, Issue 2, 2001, Pages 199-215

  Leone, Chiara ^a  

^a SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

NONLINEAR OBSTACLE PROBLEMS;

NONLINEAR EQUATIONS;

EID: 0342572478     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00190-X     Document Type: Article

References (15)

1. Attouch H., Picard C. Problemes variationnels et theorie du potentiel non lineaire. Ann. Fac. Sci. Toùlouse. 1:1979;89-136.
2. 1 theory of existence and uniqueness of nonlinear elliptic equations Ann. Scuola Norm. Sup. Pisa. 22:1995;240-273.
3. 1 -data, in preparation.
4. 1 C.R. Acad. Sci. Paris, Série I. 311:1990;617-619.
5. Boccardo L., Gallouët T., Orsina L. Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data. Ann. Inst. Henri Poincaré 13:1996;539-551.
6. P. Dall'Aglio, C. Leone, Obstacle problems with measure data, submitted for publication.
7. Dal Maso G. On the integral representation of certain local functionals. Ricerche Mat. 22:1983;85-113.
8. Dal Maso G. Some necessary and sufficient conditions for the convergence of sequences of unilateral convex sets. J. Funct. Anal. 62:1985;119-159.
9. Dal Maso G., Garroni A. The capacity method for asymptotic Dirichlet problems. Asymptotic Anal. 15:1997;299-324.
10. D. Kinderlehrer, G. Stampacchia, An introduction to variational inequalities and their applications, Academic Press, New York, 1980.
11. 1 Nonlinear Anal. 32:1998;325-334.
12. J.L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites Non linéaires, Dunod, Gauthier-Villars, Paris, 1969.
13. 1 data, Atti Sem. Mat. Univ. Modena, In press.
14. P. Oppezzi, A.M. Rossi, Unilateral problems with measure data, submitted for publication.
15. Stampacchia G. Le problème de Dirichlet pour les èquations elliptiques du second ordre à coefficients discontinus. Ann. Inst. Fourier (Grenoble). 15:1965;189-258.