ABDELHAK Mokhtari

Salah Mounira

Nehari manifold for a class of elliptic problems

GARECHE Sarra

A critical point theorem for perturbed functionals and localization of critical point in bounded convex

BOUAFIA Amira

Study of a fractional non-local problem with a singular nonlinearity and critical exponant

Bentayeb Ahlam

R´esultat d’unicit´e pour un probl`eme fractionnaire de type Kirchhoff avec un terme nonlin´eaire singulier

Ammari Imane

Etude d'un problème $p$-Laplacien fractionnaire avec un terme non linéaire singulier

BOUAFIA Safa

Etude d'une classe de problème elliptique avec exposant critique de Sobolev

FERAHTIA Delloula

Resolution d'équations intégro-différentielles linéaires de Fredholm-Volterra par une méthode de collacation

Hasni Badereddine

Etude d'une classe des problèmes non locaux contenant l'opérateur $p(x)$-Laplacien

Louifi Maroua

Existence d'une branche de bifurcation d'une classe d'opérateurs potentiels

Mira Soumia

Sur un espace fractionnaire de Sobolev avec exposant variable et applications

Douadi Ahlam

Etude d'un problème de Kirchhoff via la théorie du genre

Djiab Soumia

Principe de minimisation et applications sur des problèmes aux limites

حياة و الأعمال الرياضية لابن قنفذ القسنطيني

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ABDELHAK Mokhtari , ,(2023-10-25), حياة و الأعمال الرياضية لابن قنفذ القسنطيني,Mathematics, Mathematics and society,University of M'sila

This study investigates the existence and uniqueness of solutions for a class of Kirchhoff problems involving the fractional p-Laplacian operator and a singular nonlinearities. We also study the existence and infinitely many solutions but without the singular term and with a presence of a nonlinear term satisfies a growth assumption. Our proofs are based on variational methods and genus theory.

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ABDELHAK Mokhtari , , (2023-05-21), Existence, uniqueness and multiplicity of solutions for a class of fractional p-Kirchhof, Advanced Studies in Contemporary Mathematics, Vol:33, Issue:2, pages:139-152, JANGJEON Mathematical Society

On the existence of fixed points for a class of operators on Hilbert spaces and applications

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ABDELHAK Mokhtari , ,(2023-05-02), On the existence of fixed points for a class of operators on Hilbert spaces and applications,The first international conference on mathematical sciences and applications,8 May 1945 Guelma university

Variational methods are a valuable tool in the analysis of nonlinear problems. According to these methods, we are trying to find solutions of a given nonlinear equation, by looking for critical points of a functional defined on the function space in which we want the solution of our problem

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ABDELHAK Mokhtari , ,(2022), Variational methods for some nonlinear problems,6th M’sila Conference on Mathematical Analysis,University of M'sila

The purpose of this paper is to study the existence and infinitely many solutions for a some type of nonlocal p(\cdot,\cdot)-Kirchhoff problems with Dirichlet boundary conditions. Our proofs are based on variational methods, the Mountain Pass Lemma, and genus theory.

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ABDELHAK Mokhtari , ,(2022), Mountain pass solutions and multiplicity result for a fractional p(x, ·)-Kirchhoff type problem,The First National Conference on Nonlinear Analysis, Theory and Applications (NATA’22),University of Chlef

This paper deals with a class of singular problems involving the fractional p(x,.)-Laplace operator. Using the direct method of minimization combined with the theory of fractional Sobolev spaces with variable exponents, we prove that the problem has one positive solution for k[0 small enough. To our best knowledge, this paper is one of the first attempts in the study of singular problems involving fractional p(x,.)-Laplace operators.

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ABDELHAK Mokhtari , , (2022), A fractional p(x,⋅) -Laplacian problem involving a singular term, Indian Journal of Pure and Applied Mathematics, Vol:53, Issue:1, pages:100-111, The Indian National Science Academy

In this paper, we investigate a class of critical p(x)-Kirchhoff problems with a singular term. A nontrivial positive solution is obtained by combining variational methods with an appropriate truncation argument.

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ABDELHAK Mokhtari , , (2022), Critical p(x)-Kirchhoff Problems Involving Variable Singular Exponent, Bulletin of the Iranian Mathematical Society, Vol:48, Issue:2, pages:2917–2942, Iranian Mathematical Society

Je présente ce polycopie à mes chers étudiants dans lequelle j’ai rassemblé des leçons, des exercices résolus et autre proposés et quelques sujets d’examens qui constituent un résultat de mes conférences et travaux dirigés aux étudiants de troisième année licence dans le cadre du module "Espaces vectoriels normés" et ceci au niveau de département de mathématiques, université de M’sila.

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ABDELHAKMokhtari , ,(2021-05-19); Espaces vectoriels normés,University of M'sila,

Using the direct method of minimization combined with the theory of fractional Sobolev spaces with variable exponents, we prove that the problem has one positive solution for $\lambda>0$ small enough. To our best knowledge, this paper is one of the first attempts in the study of singular problems involving fractional $p(x,\cdot)$-Laplace operators.

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ABDELHAK Mokhtari , ,(2021), A fractional p(x, .)-Laplacian problem involving a singular term,The second national mathematics seminar 2021,,l’université frères Mentouri Constantine 1

we establish the existence and uniqueness of solutions for a $p(x)$-Laplacian equation in $\mathbb{R}^N$. The proof is based on variable exponent Sobolev space theory and the Browder-Minty theorem.

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ABDELHAK Mokhtari , ,(2019), Existence and uniqueness of solutions for a p(x)-Laplacian problem in R^N.,3-ème colloque international sur la théorie des opérateurs, EDP et ses applications (CITO’ 2019),Université d’Eloued, Algérie

Le travail dans cette thèse porte sur l’étude des solutions de quelques problèmes aux limites.

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ABDELHAKMokhtari , ,(2016-06-22); Sur l’existence de solutions pour une classe de problèmes aux limites via la théorie des points critiques,Ecole Normale Supérieure - Kouba, Alger,

In this paper we obtain existence results of k distinct pairs nontrivial solutions for an impulsive boundary value problem of p(t)-Kirchhoff type under certain conditions on the parameter λ.

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ABDELHAK Mokhtari , , (2016), MULTIPLICITY RESULTS FOR AN IMPULSIVE BOUNDARY VALUE PROBLEM OF p(t)-KIRCHHOFF TYPE VIA CRITICAL POINT THEORY, Opuscula Mathematica, Vol:36, Issue:5, pages:631–649, AGH University Press

This paper discusses the existence and multiplicity of solutions for a class of p(x)-Kirchhoff type problems with Dirichlet boundary data

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ABDELHAK Mokhtari , , (2015), EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A p(x)-KIRCHHOFF TYPE PROBLEM VIA VARIATIONAL TECHNIQUES, ARCHIVUM MATHEMATICUM (BRNO), Vol:51, Issue:3, pages:163–173, Department of Mathematics, Faculty of Science of Masaryk University, Brno