Abstract
We prove an existence and uniqueness theorem for the solution of unilateral problems with L1 data
References
- A. Bensoussan, J. L. Lions: Controle Impulsionel et Inequations Quasi Variationnelles, Gauthier-Villars, Paris, 1984.Google Scholar
- L. Boccardo, G. R. Cirmi: Nonsmooth unilateral problems, In: Nonsmooth optimization: Methods and Applications (Proceedings Erice 1991), ed. by F. Giannessi, Gordon, Breach (1992) 1-10.https://doi.org/10.4324/9781003580447-1Google Scholar
- L. Boccardo, T. Gallouët: Nonlinear elliptic and parabolic equations involving measure data, J. Funct. Anal. 87 (1989) 149-169.https://doi.org/10.1016/0022-1236(89)90005-0Google Scholar
- L. Boccardo, T. Gallouët: Nonlinear elliptic equations with right-hand side measures, Comm. Partial Differential Equations 17 (1992) 641-655.https://doi.org/10.1080/03605309208820857Google Scholar
- L. Boccardo, T. Gallouët, L. Orsina: Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data, Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996) 539-551.https://doi.org/10.1016/s0294-1449(16)30113-5Google Scholar
- C. Brauner, B. Nikolaenko: Homographic approximations of free boundary problems characterized by elliptic variational inequalities, In: Nonlinear Partial Differential Equations and their Applications, Collège de France Seminar III, ed. by H. Brezis, J. L. Lions, Research Notes in Math. 70, Pitman, London (1982) 86-128.Google Scholar
- D. Kinderlehrer, G. Stampacchia: An Introduction to Variational Inequalities and their Applications, Academic Press (1980).Google Scholar
- H. Lewy, G. Stampacchia: On the regularity of the solution of a variational inequality, Comm. Pure Appl. Math. 22 (1969) 153-188.https://doi.org/10.1002/cpa.3160220203Google Scholar
- J. Leray, J. L. Lions: Quelques résultats de Vishik sur les problèmes elliptiques semi-linéaires par les méthodes de Minty et Browder, Bull. Soc. Math. France 93 (1965) 97-107.https://doi.org/10.24033/bsmf.1617Google Scholar
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Published by Heldermann Verlag, 1999. Rights now held by Banach Press LLC.
