HELLAL Abdelaziz

Naidji Ali

Some Existence and Regularity Results for Unilateral Problems with Degenerate Coercivity

Zerrouki Fouzia

On Weak Lebesgue ( Marcinkiewicz ) Spaces with Variable Exponents

Naidji Ali

Master memory beamer-Some Existence and Regularity Results for Unilateral Problems with Degenerate Coercivity

Lakehal Hadjira

Some remarks to anisotropic variable exponent Sobolev spaces

Racha Bousbaa

On generalized Orlicz spaces

Racha BOUSBAA

On generalized Orlicz spaces_Master memory

Racha BOUSBAA

On generalized Orlicz spaces_Beamer

Anouar Islam GHEHIOUECHE

On Lebesgue and Sobolev Spaces with Variable Exponents

Riyadh Saadallah , Bilal Ibrahimi

Study of Young's and Hölder's inequalities in L^p(·)(\Omega)

Meriem Gana , Ibtissam Mekhfi

On the history of Variable Lebesgue Spaces

Ahmed Djouabi , Mohamed Mihoubi

Study of Poincaré's inequalities in L^p(·)(\Omega)

This presentation will focus on some existence results for double phase problems.

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Hellal ABDELAZIZ , ,(2024-10-23), Existence results for double phase problems,8th M’sila Conference on Mathematical Analysis (8MCMA’2024),Faculty of Mathematics and Computer Science, University of M’sila

Certificate of Appreciation

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Hellal ABDELAZIZ , ,(2024-10-23), Certificate of Appreciation,8th M'sila Conference on Mathematical Analysis (8MCMA2024),Faculty of Mathematics and Computer Science-University of M’sila

The aim of this presentation is to study a Dirichlet problem characterized by degenerate coercivity, involving variable exponents and a singular nonlinearity

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Hellal ABDELAZIZ , ,(2024-06-26), Some regularity of the solution to nonlinear singular anisotropic elliptic equations with variable exponents,National Conference: Mathematical Modeling for Dynamic Systems (M2DS’24),Constantine, ALGERIA

The main focus of this presentation is singular anisotropic degenerate elliptic equations with variable nonlinearities.

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Hellal ABDELAZIZ , ,(2024-05-15), Singular Elliptic Problems for some Anisotropic Operators with Variable Exponents,First International Journal of Mathematics And Its Applications,Bordj Bou Arréridj - Algeria

The presentation was focused on How can I choose my specialty?

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Hellal ABDELAZIZ , ,(2024-04-23), Functional Analysis via Pedagogical Days 24,Pedagogical Days 2024,Faculty of mathematics and computer science, University of Mohamed Boudiaf M'sila

Science, Technology, Engineering, and Mathematics, considered as a group of academic or career fields (often used attributively). We are interested in the challenges and the perspectives of teaching STEM in the technical classroom, so what are challenges and perspectives of teaching STEM in the technical classroom? The aim of this presentation is how to explain and clarify some formulas via geometrical method using some technical classroom. N.B. We refer the link: https://www.mathdoubts.com/a-plus-b-whole-square-geometric-proof/

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Hellal ABDELAZIZ , ,(2024-04-02), Some Formulas in Geometrical Method,Teaching STEM in the Technical Classroom : Challenges and Perspectives,University of El Oued, Algeria

All Conference of Abdelaziz Hellal Check the link: https://www.imath.kiev.ua/~young/youngconf2023/index.php?module=4&lang=en#C

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Hellal ABDELAZIZ , ,(2024-01-29), All Conference of Abdelaziz Hellal,All Conference of Abdelaziz Hellal,National and International

Abdelaziz, H. (2023). Singular Elliptic Equations with Variable Exponents. International Journal of Mathematics And Its Applications, 11(4), 141–168. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1440

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Hellal ABDELAZIZ , , (2023-12-30), Singular Elliptic Equations with Variable Exponents, International Journal of Mathematics And Its Applications, Vol:11, Issue:4, pages:28, https://ijmaa.in/index.php/ijmaa/article/view/1440

In our work, we present the prove of the existence and the regularity of weak solutions for a class of nonlinear anisotropic parabolic equations with pi(·) growth conditions, degenerate coercivity and Lm(·) data, with m(·) > 1 being small. The functional setting involves Lebesgue-Sobolev spaces with variable exponents.

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Hellal ABDELAZIZ , ,(2023), On Anisotropic Degenerate Parabolic Problem with Variable Exponents,International Conference of Young Mathematicians,Institute of Mathematics of NAS of Ukraine. Kyiv, Ukraine.

The main point of this presentation is studying the existence and regularity of solutions for some nonlinear parabolic equations with a principal part characterised by degenerate coercivity involving varaible exponents.

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Hellal ABDELAZIZ , ,(2023), Parabolic problems for some anisotropic operators involving variable exponents,2nd International Conference on the Evolution of Contemporary Mathematics and their Impact in Sciences and Technology,Mentouri Brothers University of Constantine

National Seminar Mathematics, Mathematics and Society (MMS 2023) University of M’sila and ENS Bousaada October 25-26, 2023

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Hellal ABDELAZIZ , ,(2023), Certificate of Appreciation,National Seminar, Mathematics, Mathematics and Society (MMS 2023),University of M’sila and ENS Bousaada

The C1 Advanced certificate is recognised around the world as a high-level qualification in English.

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HellalABDELAZIZ , ,(2022-12-12); The C1 Advanced Certificate,,

This paper is concerned with the study of the nonlinear elliptic equations in a bounded subset Ω ⊂ R^N Au = f, where A is an operator of Leray-Lions type acted from the space W^{1,p(·)}_{0}(Ω) into its dual. when the second term f belongs to L^m(·), with m(·) > 1 being small. we prove existence and regularity of weak solutions for this class of problems p(x)-growth conditions. The functional framework involves Sobolev spaces with variable exponents as well as Lebesgue spaces with variable exponents.

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Hellal ABDELAZIZ , , (2022), Regularity of Weak Solutions to Elliptic Problem with Irregular Data, Mathematical Methods in the Applied Sciences, Vol:0, Issue:0, pages:9, Authorea

In this poster, we show you how to prove the existence and the regularity of weak solutions for a class of nonlinear anisotropic parabolic equations with p i (·) growth conditions, degenerate coercivity and L^m(·)data, with m(·) > 1 being small. The functional setting involves Lebesgue-Sobolev spaces with variable exponents.

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Hellal ABDELAZIZ , ADMIN Admin , ,(2022), On Anisotropic Parabolic Equations with Variable Nonlinearity,Rencontre d’Analyse Mathématiqueet ses Applications (RAMA),Université de M’Sila

I contributed greatly to success the 7th M’sila Conference on Mathematical Analysis (7th MCMA 2022) as a Member of the organizing committee.

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Hellal ABDELAZIZ , ,(2022), Certificate of Recognition,7th M’sila Conference on Mathematical Analysis,M'sila

In this paper, we prove the existence and the regularity of weak solutions for a class of nonlinear anisotropic parabolic equations with pi( ⋅ ) growth conditions, degenerate coercivity and L^m( ⋅ ) data, with m( ⋅ ) > 1 being small. The functional setting involves Lebesgue-Sobolev spaces with variable exponents.

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Hellal ABDELAZIZ , , (2022), Nonlinear anisotropic degenerate parabolic equations with variable exponents and irregular data, Journal of Elliptic and Parabolic Equations, Vol:8, Issue:1, pages:20, Springer

This paper is concerned with study of the nonlinear singular elliptic equations in a bounded domain $\Omega\subset\mathbb{R}^N$, $(N\geq 2)$ with Lipschitz boundary $\partial\Omega$, $$ -\mathrm{div}\left(\widehat{a}(\cdot,Du)\right)=\frac{f}{u^{\gamma(\cdot)}}, $$ Where $f$ is a nonnegative function belonging to the Lebesgue space with variable exponents $L^{m(\cdot)}(\Omega)$, with $m(\cdot)$ being small (or $L^{1}(\Omega)$), while $m:\overline{\Omega}\to (1,+\infty)$, $\gamma:\overline{\Omega}\to (0,1)$ are continuous functions satisfying certain conditions depend on $p(\cdot)$. We prove the existence, uniqueness and regularity of nonnegative weak solutions for this class of problems with $p(\cdot)$-growth condition. The functional framework involves Sobolev spaces with variable exponents as well as Lebesgue spaces with variable exponents. Our results canbe seen as a generalization of some results given in the constant exponents case.

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Hellal ABDELAZIZ , ,(2022), Some Regularity Results for a Singular Elliptic Equations with Variable Exponents,6th M'SILA Conference on Mathematical Analysis,M'Sila

In this work we prove the existence and uniqueness of both entropy solutions and renormalized solutions for an anisotropic parabolic p-Laplacian equations with $p_i$-growth conditions using the penalization method. Moreover, we obtain that entropy solutions coincide with the renormalized solutions.

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Hellal ABDELAZIZ , ,(2022), Anisotropic Parabolic p-Laplacian Equations,|ournée Scientifique des Mathématiques et de I'Informatique (JSMI2022),Djilali Bounaâma Khemis Milliana University

In this work we prove the existence and uniqueness of both entropy solutions and renormalized solutions for an anisotropic parabolic $\overrightarrow{p}$-Laplacian equations with $p_i$-growth conditions using the penalization method. Moreover, we obtain that entropy solutions coincide with the renormalized solutions.

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Hellal ABDELAZIZ , ,(2022), Renormalized and entropy solutions for nonlinear parabolic equations with L^1 data,The Second National Conference on Mathematics and its Applications (2nd SNCMA 2022),University of Bordj Bou Arreridj, Algeria

In this work, we prove existence and regularity of weak solutions for a class of p(·)-Laplacian equations with variable exponents and L m data, with m being small. The functional setting involves Lebesgue-Sobolev spaces with variable exponents.

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Hellal ABDELAZIZ , ,(2021), Weak Solutions for the p(x)-Laplacian Equation with Variable Exponents and Irregular Data,International Conference on Pure and Applied Mathematics. IC-PAM’21,Ouargla University, Algeria

In this work, we prove existence and regularity of weak solutions for a class of p(x)-Laplacian equations with variable exponents and L^m data, with m being small. The functional setting involves Lebesgue−Sobolev spaces with variable exponents. The study of our problem in [4] is a new and interesting topic. Inspired by [1], [2] and [3] we prove the existence of weak solution for our problem with right-hand side in L^m and the variable exponent p(x) satisfies a condition of regularity. The main steps of the proof consist of obtaining uniform estimates for suitable approximate problems and then passing to the limit. [1] M. Bendahmane, P. Wittbold, Renormalized solutions for nonlinear elliptic equations with variable exponents and L^1− data, Nonlinear Analysis TMA 70(2), 567-583, (2009). [2] L. Boccardo, T. Gallouët, Nonlinear elliptic equations with right hand side measures, Comm. Partial Differential Equations 17, 641-655, (1992). [3] L. Diening, P. Harjulehto, P. Hasto, M. Rauzicka; Lebesgue and Sobolev Spaces with Variable Exponent, Book, Lectures Notes in Mathematics 2017. Springer-Verlang Berlin Heidelberg, (2011). [4] F. Mokhtari, K. Bachouche, H. Abdelaziz, Nonlinear elliptic equations with variable exponents and measure or L^m data. J. Math. Sci. 35, 73-101, (2015).

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Hellal ABDELAZIZ , ,(2020), On solutions of nonlinear elliptic equations with variable exponents and irregular data,ICRAMCS 2020,Casablanca, Morocco

Abstract. In this work, we prove existence and regularity of weak solutions for a class of p(·)-Laplacian equations with variable exponents and L^m data, with m being small. The functionalsetting involves Lebesgue-Sobolev spaces with variable exponents.

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Hellal ABDELAZIZ , ,(2019), ON p(·)-LAPLACIAN EQUATIONS WITH VARIABLE EXPONENTS AND L^m DATA,JAMA’19,Ziane Achour-Djelfa University

In this paper we prove existence and regularity of weak solutions for a class of nonlinear elliptic equations with variable exponents. The functional setting involves Lebesgue-Sobolev spaces with variable exponents.

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Hellal ABDELAZIZ , ,(2018), Nonlinear elliptic equation with variable exponents and measure data,MATHEMATICAL DAYS V,M'sila

In this work, we prove existence and regularity of weak solutions for a class of nonlinear elliptic equations with variable exponents and measure or L^m data, with m being small. The functional setting involves Lebesgue-Sobolev spaces with variable exponents.

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Hellal ABDELAZIZ , kamel Bachouche, Fares Mokhtari, , (2015), NONLINEAR ELLIPTIC EQUATION WITH VARIABLE EXPONENTS AND MEASURE OR L^m DATA, Journal of Mathematical Sciences: Advances and Applications, Vol:35, Issue:10, pages:29, Scientific Advances Publishers : Available at http://scientificadvances.co.in

University of Sciences and Technology Houari Boumediene BP 32 EL ALIA, Bab Ezzouar, Algiers, 16111, Algeria

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Hellal ABDELAZIZ , ,(2011), SHS 2011,The Second Seminar on the History of Sciences SHS 2011,University of Science and Technology Houari Boumediene, Bab-Ezzouar, Algiers, Algeria

Hellal Abdelaziz Attestation de participation Je soussigné, Abdelhafid Mokrane, Président du Comité d'Organisation des Premières Journées Scientifiques du Laboratoire Euro Maghrébin de Mathématiques et de leurs Interactions (LEM2I), a participé aux activités de ces Journées, qui se sont tenues du 13 au 22 juin 2010, au Centre Munatec de Tipaza, Algérie. certifie que Ministère de l'Enseignement Supérieur et de la Recherche Scientifique Ecole Normale Supérieure de Kouba – Alger ENS Kouba Premières Journées Scientifiques du Laboratoire Euro Maghrébin de Mathématiques et de leurs Interactions (LEM2I) 13-22 juin 2010, Tipaza, Algérie

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Hellal ABDELAZIZ , ,(2010), Our contribution without paper,Premières Journées Scientifiques du LEM2I,MUNATEC, Tipaza, Algeria.