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Houssam Chrayteh


Mathematics & Computer Science


h.shrayteh@bau.edu.lb


06 218400 Ex: 4409


Tripoli


Houssam Chrayteh

Assistant Professor of Pure Mathematics


Houssam Chrayteh received his PhD in Applied Mathematics in 2012 from the University of Poitiers in France and a Research Master in 2008 from the University of Tours in France. He obtained his BS in Pure Mathematics from Lebanese University in Lebanon in 2007. He is Assistant Professor in the Department of Mathematics and Computer Science and program coordinator in Tripoli campus. He worked as a lecturer for the academic year 2012-2013 in the University of Paris Dauphine in France.

Teaching

Teaching Experience

Before joining BAU, Dr Houssam Chrayteh taught Analysis III, Differential Calculus and Optimization at Paris Dauphine University. At BAU, he taught Real Analysis I (L1), Real Analysis II (L2), Set Theory (L2), Topology (L3), Vector Calculus (L2), Probability and Statistics (L1), Calculus and analytical geometry (L1), Discrete mathematics (L2), Special functions (L2), Partial differential equations (L4), Topology (L3), Measure Theory (L4).

Fall 2016-17 Courses

  • Business Math (BMTH201)
  • Calculus and Analytical Geometry (MATH241)
  • Special Functions (MATH343)
  • Topology (MATH443)

Spring 2016-17 Courses

  • Business Statistics (BMTH202)
  • Senior Projetcs (MATH444)
  • Bio Statistics (MATH250)
  • Vector Calculus (MATH342)
  • Fourier Series and Applications (MATH446)

Fall 2015-16 Courses

  • Calculus and analytical Geometry (MATH241)
  • Discrete mathematics (MATH345)
  • Special Functions (MATH343)
  • Mathematical Analysis (MATH303)
  • Partial Differential Equations (MATH452)
  • Measure Theory (MATH407)

Spring 2015-16 Courses

  • Real Analysis I (MATH246)
  • Real Analysis II (MATH344)
  • Topology (MATH443)
  • Vector Calculus (MATH342)
  • Probability and Statistics (MATH242)

Research

Research Interests

The aim of our research is to study the existence and regularity of solutions for eigenvalue problems involving a multivoque operator A on a smooth domain. We note that the theoretical formulation of problems related to such operator is essentially based on the notion of Clarke sub differential. For this reason, we introduce new variation methods that match the resolution of these issues in the “subcritical” case where compactness plays an important role and “critical” case when we lose compactness. Various applications are studied in this field, for example, an anisotropic operator with variable exponents and an operator with a Hardy type weight.

Publications

  • R. Ali Ahmad, T. El Arwadi, H. Chrayteh, J.-M. Sac-Epee : A Crank-Nicolson scheme for the Dirichlet-to-Neumann semigroup (Journal of Applied Mathematics, Hindawi Publishing Corporation, Volume 2015, 5 pages, 2015).
  • M.B. Benboubker, H. Chrayteh, H. Hjiaj, C. Yazough : Existence of solutions in the sense of distributions of anisotropic nonlinear elliptic equations with variable exponent (Topological Methods in Nonlinear Analysis, Juliusz Schauder Centre for Nonlinear Studies, Volume 46, Issue 2, 665–694, 2015).
  • M.B. Benboubker, H. Chrayteh, M. El Moumni, H. Hjiaj : Entropy and renormalized solutions for nonlinear elliptic problem involving variable exponent and measure data (Acta Mathematica Sinica, English Series, Springer, Volume 31, Issue 1, 151–169, 2015).
  • H. Chrayteh : Qualitative properties of eigenvectors related to multivalued operators and some existence results (Journal of Optimization Theory and Applications, Springer, Volume 155, Issue 2, 507–533, 2012).
  • H. Chrayteh & M. Pasic : Exact number of local extreme points of curvature function of solutions of second-order linear differential equations (Journal of Applied Mathematics and Computing, Springer, Volume 40, Issue 1, 5–32, 2012).
  • H. Chrayteh & J.-M. Rakotoson : Eigenvalue problems with fully discontinuous operators and critical exponents (Nonlinear Analysis : Theory, Methods & Applications, Elsevier, Volume 73, Issue 7, 2036–2055, 2010).

Activities

Conferences

  • 18 June 2009 : 1ere Journée Picto-Charentaise d’EDP (La Rochelle - France).
  • 18-20 February 2010 : International Conference on partial differential equations for the 60th birthday of Michel CHIPOT (Poitiers - France).
  • 4-6 May 2010 : Séminaire thématique“Les radars : depuis la théorie mathématique jusqu’aux applications” (Poitiers - France).
  • 21 June 2010 : 2eme Journée Picto-Charentaise d’EDP (Poitiers - France).
  • 2 July 2010 : Journée“Textures 3D”(La Rochelle - France).
  • 26-31 August 2010 : International Conference : 10eme Colloque Franco-Roumain de Mathématiques Appliquées (Poitiers - France).
  • 25-27 October 2010 : International Conference : Colloque JBHU 2010 : Analyse Variationnelle, Optimisation et Applications (Bayonne - France).
  • 18-22 April 2011 : Ecole de Printemps en traitement d’image (Martel - France).
  • 10-12 May 2011 : Séminaire thématique“Mathématiques et modélisation non linéaire” (Limoges - France).
  • 9 June 2011 : Day in Honor of Hassan Emamirad (Poitiers - France).
  • 10 June 2011 : Day in Honor of Jerry Goldstein (Poitiers - France).
  • 14-17 June 2011 : Nonlinear Models in Partial Differential Equations : An international congress on occasion of J.I. Diaz’s 60th birthday (Tolede - Spain).
  • 20-23 June 2011 : International Conference : Interfaces and discontinuities in Solids, Liquids and Crystals (Gargnano - Italy).
  • 19-25 September 2011 : International Conference of Numerical Analysis and Applied Mathematics (Halkidiki - Greece).
  • 22-24 May 2012 : Séminaire thématique“Modélisation Mathématique” (La Rochelle - France).
  • 4-6 June 2012 : Workshop : Quasilinear equations and singular problems (Tours - France).
  • 6-9 June 2012 : International Conference : Variational and Topological Methods (Flagstaff, Arizona - USA).
  • 1-5 July 2012 : The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Orlando, Floride - USA).
  • 17-18 February 2014 : Conference on Scientific Research and Higher Education (Unesco, Lebanon).
  • 27-29 March 2014 : 20th LAAS International Science Conference : Advanced Research for Better Tomorrow (Lebanese University-Hadath, Lebanon).
  • 6-7 June 2014 : The fifth annual meeting of the Lebanese Society for the Mathematical Sciences (Lebanese University-Mathaf, Lebanon).
  • 22 April 2015 : Day of Partial Differential Equations (Beirut Arab University, Lebanon).