Publications internationales

2017
(2017), Existence of solutions for a class of elliptic p(x)-Kirchhoff-type systems in ℝn. BSoc ParanMat : A. DJELLIT & B. ABDELMALEK & S. TAS, periodicos.uem.br/ojs/index.php/

Résumé: This paper is devoted to the study of the existence of solutions for a class of elliptic system with nonlocal term in Rn. The main tool used is the variational method, more precisely, the Mountain Pass Theorem.

2016
(2016), Existence of solution for an elliptic problem involving p(x)-Laplacian in Rn. Global Journal of Pure and Applied Mathematics : A.DJELLIT & B. ABDELMALEK, //www.ripublication.com/gjpam.htm

Résumé: In this paper we study a class of nonlinear elliptic problems involving the p (x)-Laplacian operator. Under some additional assumptions on the nonlinearities, thecorresponding functional verifies the Palais-Smale condition. So, we can use the Mountain Pass Theorem to prove the existence of nontrivial solution.

(2016), Existence of solutions for an elliptic p(x)-kirchhoff-type system in unbounded domain. Boletim da sociedade paranaense de matematica : A.DJELLIT & B. ABDELMALEK & S. TAS, www.spm.uem.br

Résumé: In this paper we study the existence of solutions for a class of elliptic system with nonlocal term in Rn. The main tool used is the variational method, more precisely the Mountain Pass Theorem.

2012
(2012), Existence of solutions for elliptic systems in Rn involving p(x)-Laplacian. Elect. Jour. Diff. Equa. : A. DJELLIT & Z. YOUBI & S. TAS, http://ejde.math.txstate.edu

Résumé: This article presents sufficient conditions for the existence of non- trivial solutions for a nonlinear elliptic system. To establish this result, we use a classical existence theorem in reflexive Banach spaces, under some growth conditions on the non-linearities.

2010
(2010), Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems. Elect. Jour. Diff. Equa. : A.DJELLIT & M. MOUSSAOUI & S. TAS, http://ejde.math.txstate.edu

Résumé: In this article we study elliptic systems called asymptotically ho- mogeneous because their nonlinearities may not have polynomial growth. Using the Gidas-Spruck Blow-up method, we obtain a priori estimates, and then using Leray-Schauder topological degree theory, we obtain radial positive solutions vanishing at infinity.

(2010), On some nonlinear integral equation at the boundary in the potential method. Int. J. Open Problems Comp. Math. : H. SAKER and A. DJELLIT,
2009
(2009), On a nonlinear boundary integral equation. Proceedings of the Jangjeon Mathematical Society : H. SAKER & A. DJELLIT,
2007
(2007), Quasilinear elliptic systems with critical Sobolev exponents in Rn . Nonlinear Analysis : A.DJELLIT & S. TAS, www.elsevier.com/na
(2007), The integral equations méthode with interface decomposition for bi-harmonic . Advanced studies in cotemporary Mathematics : H. SAKER, L. GHANEM, A. DJELLIT, M. N. BENBOURHIM,
(2007), Etude d’une classe de systèmes elliptiques quasi-linéaires dérivant d’un potentiel dans IRn. ESAIM : A.DJELLIT & S. TAS, www.esaim-pros.org
2004
(2004), Study of some Noncooperative Linear Elliptic Systems. APPLICATIONS OF MATHEMATICS : A.DJELLIT & S. TAS , http://dml.cz/bitstream/handle/10338.dmlcz/134566/AplMat_49-2004-3_1.pdf

Résumé: Using an approximation method, we show the existence of solutions for some noncooperative elliptic systems defined on an unbounded domain.

(2004), On some nonlinear elliptic systems. Nonlinear Analysis : A.DJELLIT & S. TAS, www.elsevier.com/na
(2004), Asymptotic estimates for eigenvalues of some nonlinear elliptic problem. Dynamical Systems and Applications : A.DJELLIT & N. BENOUHIBA,
2003
(2003), Existence of solutions for a class of elliptic systems in R n involving the p- Laplacian. Elect. Jour. Diff. Equa. : A.DJELLIT & S. TAS, http://ejde.math.txstate.edu

Résumé: Using a variational approach, we study a class of nonlinear ellip- tic systems derived from a potential and involving the p-Laplacian. Under suitable assumptions on the nonlinearities, we show the existence of nontrivial solutions.

2002
(2002), Existence and uniqueness of positive solution of a semilinear elliptic equation in Rn. Demonstratio mathematica : A.DJELLIT & N. BENOUHIBA, http://demmath.mini.pw.edu.pl/issues.html
1999
(1999), Existence de valeurs propres principales pour un problème elliptique en dimension. Rend. Istit. Mat Univ. Trieste : A.DJELLIT & N. BENOUHIBA, rendiconti.dmi.units.it/

Résumé: The purpose of the paper article is to investigate the existence of eigenvalues for linear elliptic problems in R2

1997
(1997), Existence and non existence of a principal eigenvalue for some boundary value problems. Maghreb Mathematical Review : A.DJELLIT & A. YECHOUI,

Résumé: We investigate here the existence of positive principal eigenvalues for elliptic boundary value problems.

(1997), On maximum principle and existence of positive solutions for cooperative systems. Maghreb Mathematical Review : A.DJELLIT & A. YECHOUI,

Résumé: Here, we study some cooperatif systems and we give a necessary and sufficient condition for having a Maximum Principle. The Maximum Principle under its different versions is very useful for proving existence, uniqueness and qualitative properties of solutions of linear or non linear partial differential equations.

1993
(1993), Valeurs propres de problèmes elliptiques. B.U.M.I. : A.DJELLIT & J.FLECKINGER,

Résumé: Nous étudions ici l'existence et le comportement asymptotique des valeurs propres réelles du problème <>, défini sur un ouvert connexe non borné de Rn, n>1:(-delta+q)u=lamda.g(x)u, la fonction u avec les conditions de Dirichlet aux bords, plus une condition à l'infini. Le potentiel q est non nécessairement positif et le poids peut changer de signe. Lamda est paramètre réel (ou complexe).