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Existence of solutions for unilateral problems in L1 involving lower order terms in divergence form in Orlicz spaces

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Języki publikacji
EN
Abstrakty
EN
This article is concerned with the existence result of the unilateral problem associated to the equations of the type Au - divφ(u) = ∫ ∈ L1 (Ω), where A is a Leray-Lions operator having a growth not necessarily of polynomial type and Φ ∈ C0 (R,RN).
Wydawca
Rocznik
Strony
151--181
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
autor
autor
Bibliografia
  • [1] Adams, R., Sobolev Spaces, Pure Appl. Math. 65, Academic Press, New York-London, 1975.
  • [2] Aharouch, L., Benkirane, A., Rhoudaf, M., Strongly nonlinear elliptic variational unilateral problems in Orlicz spaces, Abstr. Appl. Anal. (2006), Art. ID 46867, 20 pp.
  • [3] Aharouch, L., Rhoudaf, M., Existence of solutions for unilateral problems with L1 data in Orlicz spaces, Proyecciones 23(3) (2004), 293-317.
  • [4] Aharouch, L., Rhoudaf, M., Strongly nonlinear ellitptic unilateral problems in Orlicz space and L1 data, JIPAM J. Inequal. Pure Appl. Math. 6(2) (2005), Article 54, 20 pp. (electronic).
  • [5] Benilan, P., Boccardo, L., Gallouet, T., Gariepy, R., Pierre, M., Vazquez, J. L., An L1-theory of existence and uniqueness of nonlinear elliptic equations, .Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 22 (1995), 240-273.
  • [6] Benkirane, A., Bennouna, J., Existence of entropy solutions for nonlinear problems in Orlicz spaces, Abstr. Appl. Anal. 7(2) (2002),85-102.
  • [7] Benkirane, A., BENNOUNA, J., Existence and uniqueness of solution of unilateral problems with Ll-data in Orlicz spaces, Ital. J. Pure Appl. Math. 16 (2004), 87-102.
  • [8] Benkirane, A., Elmahi, A., A strongly nonlinear elliptic equation having natural growth terms and L1 data, Nonlinear Anal. 39, (2000), 403-411.
  • [9] Boccardo, L., Some nonlinear Dirichlet problem in Ł1 involving lower order terms in divergence form, Progress in elliptic and parabolic partial differential equations (Capri, 1994), Pitman Res. Notes Math. Ser. 350, Longman, Harlow, 1996, 43-57
  • [10] Boccardo, L., Cirmi, G. R., Existence and uniqueness of solution of unilateral problems with L1 data, J. Convex Anal. 6(1) (1999), 195-206.
  • [11] Dalmaso, G., Murat, F., Orsina, L., Prignet, A., Renormalized solutions of elliptic equations with general measure data, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 28(4) (1999),741-808.
  • [12] Gossez, J. P., Nonlinear elliptic boundary value problems for equatiorts with, rapidly (or slowly) increasing coefficients, Thans. Amer. Math. Soc. 190 (1974), 163-205.
  • [13] Gossez, J. P., Some approximation properties in Orlicz-Sobolev spaces, Studia Math. 74(1) (1982), 17-24.
  • [14] Gossez, J. P., Mustonen, V., Variational inequalities in Orlicz-Sobolev spaces, Nonlinear Anal. 11 (1987), 379-492.
  • [15] Krasnosel'skii, M. A., Rutickii, Ya. B., Gonvex Functions and Orlicz S'paces, P. Noordhoff Ltd., Groningen, 1961.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD6-0002-0035
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