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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.19 no.2 Antofagasta Aug. 2000

http://dx.doi.org/10.4067/S0716-09172000000200001 

A VARIATIONAL INEQUALITY RELATED TO AN ELLIPTIC OPERATOR

A. WANDERLEY
Universidade do Estado do Río de Janeiro, Brasil

and

N. RIBEIRO
Universidade Federal do Río de Janeiro, Brasil

 

Key words and phrases: Non-linear operator, variational inequality, Sobolev spaces

AMS Subject Classification: Primary: 35A15; Secondary: 35B99.

References

[1] Brézis, H., Integrales convexes dans les espaces de Sobolev, Israel J. Math., 13, pp. 9-23, (1972).         [ Links ]

[2] Brézis, H. and Browder, F., Strongly Nonlinear Elliptic Boundary Value Problems, Ann. Sc. Norm. Sup. di Pisa, pp. 587-598, (1978).         [ Links ]

[3] Lions, J.L., Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires, Ed. Dunod, Paris, (1969).         [ Links ]

[4] Natanson, I., Theory of Functions of a Real Variable, Ed. Frederick Ungar, N.Y., (1955).         [ Links ]

Received: May, 1999.

A. Wanderley
Instituto de Matemática e Estatística
Universidade do Estado do Río de Janeiro
Rua Sâo Francisco Xavier, 524
Río de Janeiro
RJ 20550 - 013
Brasil

and

N. Riberiro
Instituto de Matemática
Centro de Tecnología, Bloco C
Universidade Federal do Río de Janeiro
Río de Janeiro
RJ 21945 - 9701
Brasil

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