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

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

doi:10.15446/recolma.v57n1.112431

Publicado

2024-01-11

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

Desigualdades de ecuaciones sobre espacios Musielak-Orlicz con condiciones iniciales medibles

DOI:

https://doi.org/10.15446/recolma.v57n1.112431

Palabras clave:

Musielak-Orlicz-Sobolev spaces, Unilateral parabolic problem, entropy solutions, truncations (en)
Espacios de Musielak-Orlicz-Sobolev, problemas parabólicos unilaterales, soluciones de entropía (es)

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Autores/as

Ouidad Azraibi Sidi Mohammed Ben Abdallah University
Mohamed Bourahma Sidi Mohammed Ben Abdallah University
M. Mekkour Sidi Mohammed Ben Abdallah University
Arij Bouzelmate Abdelmalek Essaadi University
Badr El Haji Abdelmalek Essaadi University

Resumen (en)
Resumen (es)

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 Q_T = 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).

El objetivo de este trabajo es probar la existencia de soluciones para problemas parabólicos unilaterales asociados a la ecuación

∂u - div a(x, t, u, ∇u) - div Φ(x, t, u) = μ in Q_T = Ω × (0, T), ∂t

donde el término Φ satisface una condición natural generalizada de crecimiento y la condición μ pertenece al espacio L¹(Q) + E (Q).

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Cómo citar

APA

Azraibi, O., Bourahma, M., Mekkour, M., Bouzelmate, A. y El Haji, B. (2024). On the some equations inequalities in Musielak-Orlicz spaces with measure data. Revista Colombiana de Matemáticas, 57(1), 123–154. https://doi.org/10.15446/recolma.v57n1.112431

ACM

[1]

Azraibi, O., Bourahma, M., Mekkour, M., Bouzelmate, A. y El Haji, B. 2024. On the some equations inequalities in Musielak-Orlicz spaces with measure data. Revista Colombiana de Matemáticas. 57, 1 (ene. 2024), 123–154. DOI:https://doi.org/10.15446/recolma.v57n1.112431.

ACS

(1)

Azraibi, O.; Bourahma, M.; Mekkour, M.; Bouzelmate, A.; El Haji, B. On the some equations inequalities in Musielak-Orlicz spaces with measure data. rev.colomb.mat 2024, 57, 123-154.

ABNT

AZRAIBI, O.; BOURAHMA, M.; MEKKOUR, M.; BOUZELMATE, A.; EL HAJI, B. On the some equations inequalities in Musielak-Orlicz spaces with measure data. Revista Colombiana de Matemáticas, [S. l.], v. 57, n. 1, p. 123–154, 2024. DOI: 10.15446/recolma.v57n1.112431. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/112431. Acesso em: 2 feb. 2025.

Chicago

Azraibi, Ouidad, Mohamed Bourahma, M. Mekkour, Arij Bouzelmate, y Badr El Haji. 2024. «On the some equations inequalities in Musielak-Orlicz spaces with measure data». Revista Colombiana De Matemáticas 57 (1):123-54. https://doi.org/10.15446/recolma.v57n1.112431.

Harvard

Azraibi, O., Bourahma, M., Mekkour, M., Bouzelmate, A. y El Haji, B. (2024) «On the some equations inequalities in Musielak-Orlicz spaces with measure data», Revista Colombiana de Matemáticas, 57(1), pp. 123–154. doi: 10.15446/recolma.v57n1.112431.

IEEE

[1]

O. Azraibi, M. Bourahma, M. Mekkour, A. Bouzelmate, y B. El Haji, «On the some equations inequalities in Musielak-Orlicz spaces with measure data», rev.colomb.mat, vol. 57, n.º 1, pp. 123–154, ene. 2024.

MLA

Azraibi, O., M. Bourahma, M. Mekkour, A. Bouzelmate, y B. El Haji. «On the some equations inequalities in Musielak-Orlicz spaces with measure data». Revista Colombiana de Matemáticas, vol. 57, n.º 1, enero de 2024, pp. 123-54, doi:10.15446/recolma.v57n1.112431.

Turabian

Azraibi, Ouidad, Mohamed Bourahma, M. Mekkour, Arij Bouzelmate, y Badr El Haji. «On the some equations inequalities in Musielak-Orlicz spaces with measure data». Revista Colombiana de Matemáticas 57, no. 1 (enero 11, 2024): 123–154. Accedido febrero 2, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/112431.

Vancouver

1.

Azraibi O, Bourahma M, Mekkour M, Bouzelmate A, El Haji B. On the some equations inequalities in Musielak-Orlicz spaces with measure data. rev.colomb.mat [Internet]. 11 de enero de 2024 [citado 2 de febrero de 2025];57(1):123-54. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/112431

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CrossRef Cited-by

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1. Arij Bouzelmate, Badr El Haji, Adnan Lamtarah. (2024). Nonlinear elliptic unilateral problems with measure data in the anisotropic Sobolev space. Nonautonomous Dynamical Systems, 11(1) https://doi.org/10.1515/msds-2024-0001.