References
- [1] Aberqi, A., Bennouna, J., Mekkour, M., Redwane, H.: Nonlinear parabolic inequalities with lower order terms, Applicable Analysis, DOI: 10.1080/00036811.2016.120518610.1080/00036811.2016.1205186
- [2] Azroul, E., Redwane, H., Rhoudaf, M.: Existence of Solution for Nonlinear Parabolic Systems viaWeak Convergence of Truncations, Electronic Journal of Differential Equations, Vol. 2010(2010), No. 68, pp. 1-18. ISSN: 1072-6691. URL: http://ejde.math.txstate.edu
- [3] Bennouna, J., Hammoumi, M., Aberqi, A.: Nonlinear degenerated parabolic equations with lower order terms, Electronic Journal of Mathematical Analysis and Applications, pp. 234-253 (2016)
- [4] Blanchard, D., Murat, F.: Renormalized Solutions of Nonlinear Parabolic Problems with L1Data, Existence and Uniqueness , Proc. R. Soc. Edinburgh Sect. A 127, 1137-1152 (1997)
- [5] Blanchard, D., Murat, F., Redwane, H.: Existence et unicité de la solution renormalisée d’un problème parabolique assez général, C. R. Acad. Sci. Paris Sér. 1329, 575-580 (1999)
- [6] Blanchard, D., Porretta, A.: A Stefan Problems with Diffusion and Convection, Differ. Equ. 210, 383-428 (2005)
- [7] Boccardo, L., Dall’Aglio, A., Orsina, L.: Existence and regularity results for some elliptic equations with degenerate coercivity. Atti Semin. Mat. Fis. Univ. Modena 46-suppl., 51-81 (1998)
- [8] Chen, Y., Levine, S. and Rao, M.: Variable exponent linear growth functonals in image restoration. SIAM J. Appl. Math. 66 (2006) 1383-1406.
- [9] Eden, A., Michaux, B., Rakotoson, J.: Doubly Nonlinear Parabolic-Type Equations as Dynamical systems, Journal of Dynamics and Differential Equations, 3, (1991), 87-131.
- [10] Elmahi, A., Meskine, D.: Strongly Nonlinear parabolic equations with natural growth terms and L1data in Orlicz spaces , Port. Math. Nova 62, 143-183 (2005)
- [11] Elmahi, A., Meskine, D.: Strongly nonlinear parabolic equations with natural growth terms and L1data in Orlicz spaces. Portugaliae Mathematica. Nova 62, 143-183 (2005)
- [12] Gossez, J. P.: A strongly nonlinear elliptic problem in Orlicz-Sobolev spaces, Proc. Sympos. Pure Math. 45, Amer. Math. Soc., 455-462 (1986)10.1090/pspum/045.1/843579
- [13] Gossez, J. P.: Surjectivity results for pseudo-monotone mappings in complementary systems, J. Math. Anal. Appl. 53, 484-494 (1976)
- [14] Gossez, J.P.: Nonlinear elliptic boundary value problems for equations with rapidly (or slowly) increasing coefficients, Trans. Amer. Math. soc. 190, 163-205 (1974)
- [15] Gossez, J.P., Mustonen, V.: Variationnal inequalities in Orlicz-Sobolev spaces., Nonlinear Anal. 11, 317-492 (1987)10.1016/0362-546X(87)90053-8
- [16] Krasnosel’skii, M., Rutikii, Ya.: Convex functions and Orlicz spaces, Groningen, Nordhooff (1969)
- [17] Lions, JL.: Quelques méthodes de resolution des probl?mes aux limites non lin?aires [Some methods of resolution of problems with nonlinear boundary]. Paris: Dunod et Gauthier-Villars; 1969.
- [18] Musielak, J.: Orlicz spaces and modular spaces, Lecture Note in Mahtematics, 1034, Springer, Berlin, (1983)10.1007/BFb0072210
- [19] Redwane, H.: Existence Results For a Class of Nonlinear Parabolic Equations in Orlicz Spaces, Electronic Journal of Qualitative Theory of Differential Equations, No. 2, 1-19 (2010)
- [20] Ruzicka, M.: Electroheological Fluides Modeling and Mathematical Theory. Lecture Notes in Mathematics, 1748. Springer-Verlaag, Berlin, 2000.10.1007/BFb0104029
- [21] Simon, J.: Compact sets in Lp(0, T; B), Ann. Mat. Pura Appl., 146, pp. 65-96 (1987)10.1007/BF01762360