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6: Paper Source PDF document

Paper's Title:

Renormalized Solutions for Nonlinear Parabolic Equation with Lower Order Terms


A. Aberqi1, J. Bennouna1, M. Mekkour1 and H. Redwane2

1Université Sidi Mohammed Ben Abdellah,
Département de Mathématiques,
Laboratoire LAMA, Faculté des Sciences Dhar-Mahrez,
B.P 1796 Atlas Fés,

2Faculté des Sciences Juridiques, Economiques et Sociales,
Université Hassan 1, B.P. 784. Settat,


In this paper, we study the existence of renormalized solutions for the nonlinear parabolic problem: ,where the right side belongs to L1(Ω×(0,T)) and b(u) is unbounded function of u, the term div(a(x,t,u,u)) is a Leray--Lions operator and the function φ is a nonlinear lower order and satisfy only the growth condition.

3: Paper Source PDF document

Paper's Title:

Existence and Regularity of Minima of an Integral Functional in Unbounded Domain


L. Aharouch, J. Bennouna and A. Bouajaja

King Khalid University
Faculty of Arts and Science Mha'l Asir
Saudi Arabia.


Université Sidi Mohammed Ben Abdellah
Faculté des Sciences Dhar-Mahraz
B.P 1796 Atlas Fès,




We prove the existence and the regularity of minima for a functional defined on a suitable Sobolev space.

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