Existence of solutions for some strongly nonlinear parabolic problems involving lower order terms in divergence form in Musielak-Orlicz spaces
Resumen
In this work, we prove an existence result of entropy solutions in Musielak-Orlicz-Sobolev spaces for a class of nonlinear parabolic equations with two lower order terms and L1-data.Descargas
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Ahmed Oubeid, M. L., Benkirane, A., Sidi El Vally, M.: Strongly nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces, Bol. Soc. Paran. Mat.v. 33 1 191-223, (2015).
Azroul, E., Benboubker, M. B., Redwane, H., Yazough, C.: Renormalized solutions for a class of nonlinear parabolic equations without sign condition involving nonstandard growth, Annals of the University of Craiova, Mathematics and Computer Science Series Volume 41(1), 69-87, (2014).
Benkirane, A., Sidi El Vally M., (Ould Mohamedhen Val): Some approximation properties in Musielak-Orlicz- Sobolev spaces, Thai.J. Math. 10, 371-381, (2012).
Benkirane, A., Sidi El Vally M., (Ould Mohamedhen Val): Variational inequalities in Musielak-Orlicz-Sobolev spaces, Bull. Belg. Math. Soc. Simon Stevin 21, 787-811, (2014).
Boccardo, L., Murat, F.: Almost everywhere convergence of the gradients, Nonlinear Anal. 19 (6) 581-597, (1992).
A. Elmahi, Strongly nonlinear parabolic initial-boundary value problems in Orlicz spaces, Electron. J. Differential Equations. 09, 203-220, (2002).
A. Elmahi, D. Meskine, Strongly nonlinear parabolic equations having natural growth terms in Orlicz spaces, Nonlinear Analysis, 60 (2005) 1-35.
Fu, Y., Pan, N.: Existence of solutions for nonlinear parabolic problem with p(x)-growth, Journal of Mathematical Analysis and Applications 362, 2, 15, 313-326, (2010).
Gossez, J.-P.: Nonlinear elliptic boundary value problems for equations with rapidly (or slowly) increasing coefficients, Trans. Amer. Math. Soc. 190, 163-205, (1974).
Hadj Nassar, S., Moussa, H., Rhoudaf, M.: Renormalized solution for a nonlinear parabolic problems with noncoercivity in divergence form in Orlicz spaces. Appl. Math. Comput. 249, 253-264, (2014).
Landes, R. Mustonen, V.: A strongly nonlinear parabolic initial-boundary value problem, Ask. f. Mat, 25, 29-40, (1987).
Musielak, J.: Modular spaces and Orlicz spaces, Lecture Notes in Math. 10-34 (1983).
Porretta, A.: Existence results for strongly nonlinear parabolic equations via strong convergence of truncations, Ann. Mat. Pura Appl. (IV), 177, 143-172, (1999).
Simon, J.: Compact sets in the space Lp(0, T, B), Ann. Mat. Pura. Appl. 146, 65-96, (1987).
Talha. A., Benkirane, A.: Strongly nonlinear elliptic boundary value problems in MusielakOrlicz spaces, Monatsh Math, 184, 1–32, (2017).
Talha. A., Benkirane, A.: Elemine Vall, M.S.B.: Entropy solutions for nonlinear parabolic inequalities involving measure data in musielak-orlicz-sobolev spaces, Bol. Soc. Paran. Mat. v. 36, 2, 199-230, (2018).
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