On the some equations inequalities in Musielak-Orlicz spaces with measure data

Author:

Azraibi Ouidad,Bourahma Mohamed,Mekkour M.,Bouzelmate Arij,El Haji Badr

Abstract

Our aim in this present work is to prove the existence of a solution for the nonlinear unilateral parabolic problems associated to the equation ∂u - div a(x, t, u, ∇u) - div Φ(x, t, u) = μ in QT = Ω × (0, T), ∂t where the lower order term Φ satisfies a generalized natural growth condition and the datum μ belongs to L1(Q) + E (Q).

Publisher

Universidad Nacional de Colombia

Reference40 articles.

1. M. Kbiri Alaoui, D. Meskine, and A. Souissi, On some class of nonlinear parabolic inequalities in Orlicz spaces, Nonlinear Anal. TMA 74 (2011), no. 17, 5863-5875.

2. N. El Amarty, B. El Haji, and M. El Moumni, Existence of renomalized solution for nonlinear Elliptic boundary value problem without 2-condition, SeMA 77 (2020), 389-414, https://doi.org/10.1007/s40324-020-00224-z.

3. N. El Amarty, B. El Haji, and M. El Moumni, Entropy solutions for unilateral parabolic problems with L1-data in Musielak-Orlicz-Sobolev spaces, Palestine Journal of Mathematics 11 (2022), no. 1, 504-523.

4. O. Azraibi, B. EL haji, and M. Mekkour, Nonlinear parabolic problem with lower order terms in Musielak-Sobolev spaces without sign condition and with Measure data, Palestine Journal of Mathematics 11 (2022), no. 3, 474-503.

5. O. Azraibi, B. EL haji, and M. Mekkour, On Some Nonlinear Elliptic Problems with Large Monotonocity in MusielakâOrliczâSobolev Spaces, Journal of Mathematical Physics, Analysis, Geometry 18 (2022), no. 3, 1â18.

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