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Faculty members

Content

Inside a building, a man dressed in a traditional white uniform with a red and white Saudi shemagh wears a neutral expression as if he were taking a picture of a faculty file at Qassim University.
Photo of the faculty member

Mohamed Mohamed Sadok BenAyed

Full Professor
College of Sciences
Department of Mathematics

Personal data

    Scientific qualifications

      Research interests

        Published research

        • Asymptotic Behavior and Construction of Blowing-Up Solutions for a Subcritical Elliptic Problem (2026-05-30)
        • On the prescribed scalar curvature problem on -manifolds (1996-01-01)
        • A nonexistence result of single peaked solutions to a supercritical nonlinear problem (2003-01-01)
        • On a fourth order elliptic equation with critical nonlinearity in dimension six (2006-01-01)
        • The Paneitz curvature problem on lower-dimensional spheres (2007-01-01)
        • The scalar-curvature problem on higher-dimensional spheres (1998-01-01)
        • Blow-up and symmetry of sign-changing solutions to some critical elliptic equations (2006-01-01)
        • The scalar curvature problem on the four dimensional half sphere (2004-01-01)
        • Prescribing the scalar curvature under minimal boundary conditions on the half sphere (2002-01-01)
        • Blow-up and nonexistence of sign changing solutions to the Brezis-Nirenberg problem in dimension three (2006-01-01)
        • On a biharmonic equation involving nearly critical exponent (2006-01-01)
        • A Morse lemma at infinity for Yamabe type problems on domains (2003-01-01)
        • Some existence results for a Paneitz-type problem using the theory of critical points at infinity (2005-01-01)
        • Classification of Low-Energy Sign-Changing Solutions to an Almost Critical Problem (2007-01-01)
        • A non-existence result for Yamabe-type problems on thin annuli (2002-01-01)
        • Nonexistence results of sign-changing solutions to a supercritical nonlinear problem (2008-01-01)
        • Multiplicity results for the prescribed scalar curvature on low spheres (2008-01-01)
        • On a Variational Problem Involving Critical Sobolev Growth in Four Dimensions (2004-01-01)
        • Threshold Dynamics of Within-Host CHIKV Infection: A Delay Differential Equation Model with Persistently Infected Monocytes and Humoral Immunity (2026-01-01)
        • The Nirenberg problem on high dimensional half spheres: the effect of pinching conditions (2021-01-01)
        • Profile and existence of sign-changing solutions to an elliptic subcritical equation (2008-01-01)
        • Existence of conformal metrics on spheres with prescribed Paneitz curvature (2004-01-01)
        • Fast QTMT decision tree for versatile video coding based on deep neural network (2022-01-01)
        • Harmonic functions with nonlinear Neumann boundary condition and their Morse indices (2017-01-01)
        • Asymptotic behavior of least energy solutions of a biharmonic equation in dimension four (2006-01-01)
        • Non-simple blow ups for the Nirenberg problem on half spheres (2020-01-01)
        • Existence of conformal metrics with prescribed scalar curvature on the four dimensional half sphere (2012-01-01)
        • Topological tools in prescribing the scalar curvature on the half sphere (2004-01-01)
        • Critical points at infinity in a fourth order elliptic problem with limiting exponent (2004-01-01)
        • CNN-based ternary tree partition approach for VVC intra-QTMT coding (2024-01-01)
        • Multispike Solutions for a Slightly Subcritical Elliptic Problem with Non-Power Nonlinearity (2022-01-01)
        • Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems (2023-01-01)
        • Interior Multi-Peak Solutions for a Slightly Subcritical Nonlinear Neumann Equation (2024-01-01)
        • Finite-dimensional reduction of a supercritical exponent equation (2020-01-01)
        • On the prescribed scalar curvature on 3-half spheres: multiplicity results and Morse inequalities at infinity (2009-01-01)
        • Multiplicity results for the scalar curvature problem on half spheres (2024-01-01)
        • Performance analysis of MTS on the VVC encoder (2024-01-01)
        • Concentrating boundary blow-up solutions of a slightly subcritical Hénon-type problem for all dimensions (2021-01-01)
        • Construction of Solutions to an Elliptic PDE with a Supercritical Exponent Nonlinearity Using Finite-Dimensional Reduction: M. Ben Ayed, K. Ould Bouh (2020-01-01)
        • On a resonant mean field type equation: a “critical point at infinity” approach (2017-01-01)
        • Existence and multiplicity results for a fourth order mean field equation (2010-01-01)
        • Concentration phenomena for a fourth-order equation on $\mathbb{R}^n$ (2009-01-01)
        • On the prescribed scalar curvature problem on the three-dimensional half sphere (2005-01-01)
        • Interior Blowing-Up Solutions for a Subcritical Neumann Problem in Low-Dimensional Domains (2025-01-01)
        • The Nirenberg problem on high-dimensional spheres: the blow-up with residual mass phenomenon: M. Ahmedou et al. (2025-01-01)
        • Impact of inter prediction multiple reference frames on H.266/VVC encoder (2024-01-01)
        • Morse inequalities at infinity for a resonant mean field equation (2023-01-01)
        • H.264/SVC performance and encoder bit-stream analysis (2011-01-01)
        • Random forest based fast MTS algorithm for VVC encoder (2024-01-01)
        • Fast mode decision for CU coding based on CNN for the VVC standard (2022-01-01)
        • Scalar curvature type problem on the three dimensional bounded domain (2017-01-01)
        • H.264/AVC high definition intra coding implementation on multiprocessor system on chip technology architecture (2015-01-01)
        • Asymptotic behavior and existence results for a biharmonic equation involving the critical Sobolev exponent in a five-dimensional domain (2010-01-01)
        • Energy and Morse index of solutions of Yamabe type problems on thin annuli. (2005-01-01)
        • Bubbles clustered inside for problems that were nearly critical (2025-01-01)
        • Interior peak solutions for a semilinear Dirichlet problem (2025-01-01)
        • The Nirenberg problem on half spheres: A bubbling-off analysis (2023-01-01)
        • On a Yamabe-type problem on a three-dimensional thin annulus (2005-01-01)
        • Serological and hematological profiles of canine and human ehrlichiosis in the kennels of Tunis and Bizerte (Tunisia) [seroprevalence, thrombocytopenia] (2000-01-01)
        • On the Nirenberg problem on spheres: Arbitrarily many solutions in a perturbative setting (2026-01-01)
        • Multi-bubble blow-up analysis for an almost critical problem (2025-01-01)
        • Construction of Solutions to a Supercritical Elliptic PDE in Low Dimensions: MB Ayed, Y. Dammak (2021-01-01)
        • Theory of “critical points at infinity” and a resonant singular Liouville-type equation (2017-01-01)
        • Bahri-Coron type theorem for the scalar curvature problem on high dimensional spheres (2012-01-01)
        • Prospective study of 420 biopsies performed in patients with duodenal ulcer with positive Helicobacter pylori (2006-01-01)
        • Existence results for a nonlinear elliptic equation with critical Sobolev exponent (2005-01-01)
        • Some existence results for a fourth order equation involving critical exponent (2003-01-01)
        • The effect of pinching conditions in prescribing $\sigma_k$-curvature on standard spheres (2023-01-01)
        • Partial Differential Equations Arising from Physics and Geometry (2019-01-01)
        • Nonexistence of bounded energy solutions for a fourth order equation on thin annuli (2003-01-01)
        • Single peaked solutions to a supercritical nonlinear problem (2003-01-01)
        • Asymptotic Behavior and Construction of Blowing-Up Solutions for a Subcritical Elliptic Problem (2026-01-01)
        • Boundary peak solutions with residual mass for a slightly subcritical Hénon-type problem (2026-01-01)
        • Non-existence of solutions for a slightly super-critical elliptic problem with non-power nonlinearity (2025-01-01)
        • Selective Multiple Reference Frame Approach for VVC Standard (2025-01-01)
        • Boundary Blowing Up Solutions for an Elliptic Neumann Problem with Nearly Critical Exponent (2025-01-01)
        • Boundary Concentrated Solutions for an Elliptic Equation with Subcritical Nonlinearity (2025-01-01)
        • New multiplicity results for the Q-curvature on standard spheres (2024-01-01)
        • A Tribute to Abbas Bahri (1955–2016) (2016-01-01)
        • An Efficient Spatial Scalable Video Encoder Based on DWT (2011-01-01)
        • Multiplicity results for the prescribed scalar curvature on low spheres p. 609-634 (2008-01-01)
        • Splenic arteriovenous fistula and portal hypertension. A case report (2002-01-01)
        • A non-existence result for a Yamabe type problem on thin annuli (2002-01-01)
        • Menetrier's disease: a case report (2001-01-01)
        • Ménétrier's disease: About a case (2001-01-01)
        • Heterotopic pancreas, about three cases (1995-01-01)
        • Biermer's anemia and gastric polyps. 3 cases (1994-01-01)
        • Biermer's anemia and gastric polyps: about 3 cases (1994-01-01)
        • Watermelon stomach (1993-01-01)
        • Gastroduodenal Crohn's disease associated with an alpha 1 antitrypsin deficiency (1992-01-01)
        • Digestive manifestations of AIDS. Apropos of a case (1986-01-01)
        • Ampulla of Vater and retention jaundice: Analytical study of 13 cases (1985-01-01)
        • Ampullary tumors and obstructive jaundice: An analytical study of 13 cases (1985-01-01)
        • Solitary rectal ulcer syndrome: a case report and review of the literature (1984-01-01)
        • The Nirenberg problem on high dimensional half spheres: the effect of pinching conditions Mohameden Ahmedou1· Mohamed Ben Ayed2 Received: 23 December 2020/Accepted: 11 May 2021 … (2026-01-01)
        • Theory of "Critical Points at Infinity" and a Resonant Singular Liouville-Type Equation (2026-01-01)
        • Nirenberg problem on high dimensional spheres: blow up with residual mass phenomenon (2024-11-14)
        • Interior Peak Solutions for a Semilinear Dirichlet Problem (2025-01-01)
        • Multi-bubble blow-up analysis for an almost critical problem (2025-09-03)
        • The Effect of Pinching Conditions on the Prescription of Q-Curvature for Standard Spheres (2023-02-01)
        • Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems (2023-09-11)
        • New multiplicity results for prescribing Q-curvature on standard spheres (2024-04-22)
        • Interior Multi-Peak Solutions for a Slightly Subcritical Nonlinear Neumann Equation (2024-03-01)
        • MULTIPLICITY RESULTS FOR THE SCALAR CURVATURE PROBLEM ON HALF SPHERES (2024-02-24)
        • Blowing-Up Solutions with Residual Mass in a Slightly Subcritical Dirichlet Problem (2026-05-15)
        • On the Nirenberg problem on spheres: Arbitrarily many solutions in a perturbative setting (2026-01-19)
        • Classification of Low-Energy Sign-Changing Solutions to an Almost Critical Problem (2007-09-15)
        • The Paneitz curvature problem on lower-dimensional spheres (2007-01-01)
        • On a biharmonic equation involving nearly critical exponent (2006-12-01)
        • Blow-up and symmetry of sign-changing solutions to some critical elliptic equations (2006-11-15)
        • Asymptotic behavior of least energy solutions of a biharmonic equation in dimension four (2006-01-01)
        • Blow-up and nonexistence of sign changing solutions to the Brezis-Nirenberg problem in dimension three (2006-01-01)
        • The scalar curvature problem on the four dimensional half sphere (2005-04-01)
        • Energy and Morse Index of Solutions to Yamabe-Type Problems on Thin Annuli (2005-01-01)
        • Existence of conformal metrics on spheres with prescribed paneitz curvature (2004-06-01)
        • Boundary peak solutions with residual mass of a slightly subcritical Henon type problem (2026-01-01)
        • Boundary Concentrated Solutions for an Elliptic Equation with Subcritical Nonlinearity (2025-04-30)
        • Morse inequalities at infinity for a resonant mean field equation (2023-02-01)
        • The Nirenberg Problem on Half Spheres: A Bubbling-off Analysis (2022-11-23)
        • MULTISPIKE SOLUTIONS FOR A SLIGHTLY SUBCRITICAL ELLIPTIC PROBLEM WITH NON-POWER NONLINEARITY (2022-11-22)
        • NON SIMPLE BLOW UPS FOR THE NIRENBERG PROBLEM ON HALF SPHERES (2022-09-22)
        • The Nirenberg problem on high dimensional half spheres: the effect of pinching conditions (2021-08-01)
        • Concentrating boundary blow up solutions of a slightly subcritical Henon type problem for all dimensions (2021-01-01)
        • Construction of solutions of a supercritical elliptic PDE in low dimensions (2020-04-28)
        • Construction of solutions of an elliptic PDE with a supercritical exponent nonlinearity using the finite dimensional reduction (2020-02-17)
        • Abbas Bahri: A Dedicated Life (2019-01-01)
        • Harmonic functions with nonlinear Neumann boundary condition and their Morse indices (2017-12-01)
        • Theory of "Critical Points at Infinity" and a Resonant Singular Liouville-Type Equation (2017-02-01)
        • SCALAR CURVATURE TYPE PROBLEM ON THE THREE DIMENSIONAL BOUNDED DOMAIN (2017-01-01)
        • ON A RESONANT MEAN FIELD TYPE EQUATION: A "CRITICAL POINT AT INFINITY" APPROACH (2017-04-01)
        • Existence of conformal metrics with prescribed scalar curvature on the four dimensional half sphere (2012-12-01)
        • Bahri-Coron type theorem for the scalar curvature problem on high dimensional spheres (2012-01-01)
        • ASYMPTOTIC BEHAVIOR AND EXISTENCE RESULTS FOR A BIHARMONIC EQUATION INVOLVING THE CRITICAL SOBOLEV EXPONENT IN A FIVE-DIMENSIONAL DOMAIN (2010-11-01)
        • Existence and multiplicity results for a fourth order mean field equation (2010-05-01)
        • CONCENTRATION PHENOMENA FOR A FOURTH-ORDER EQUATION ON Rn (2009-09-01)
        • ON THE PRESCRIBED SCALAR CURVATURE ON 3-HALF SPHERES: MULTIPLICITY RESULTS AND MORSE INEQUALITIES AT INFINITY (2009-03-01)
        • PROFILE AND EXISTENCE OF SIGN-CHANGING SOLUTIONS TO AN ELLIPTIC SUBCRITICAL EQUATION (2008-12-01)
        • Nonexistence results of sign-changing solutions to a supercritical nonlinear problem (2008-09-01)
        • Multiplicity results for the prescribed scalar curvature on low spheres (2008-01-01)
        • EXISTENCE RESULTS FOR A NONLINEAR ELLIPTIC EQUATION WITH CRITICAL SOBOLEV EXPONENT (2005-01-01)
        • ON A VARIATIONAL PROBLEM INVOLVING CRITICAL SOBOLEV GROWTH IN DIMENSION FOUR (2004-03-01)
        • Bubbles clustered inside for problems that were nearly critical (2025-06-05)
        • The effect of pinching conditions in prescribing Q-curvature on standard spheres (2023-02-01)
        • NON SIMPLE BLOW UPS FOR THE NIRENBERG PROBLEM ON HALF SPHERES (2022-12-01)
        • Blowing-Up Solutions with Residual Mass in a Slightly Subcritical Dirichlet Problem (2026-05-01)
        • On the Nirenberg problem on spheres: Arbitrarily many solutions in a perturbative setting (2026-04-25)
        • Multi-bubble blow-up analysis for an almost critical problem (2026-02-15)
        • Boundary peak solutions with residual mass for a slightly subcritical Hénon-type problem (2026-01-01)
        • Boundary Blowing Up Solutions for an Elliptic Neumann Problem with Nearly Critical Exponent (2025-04-01)
        • Nirenberg problem on high dimensional spheres: blow up with residual mass phenomenon (2025-01-01)
        • Bubbles clustered inside for problems that were nearly critical (2025-01-01)
        • New multiplicity results for the Q-curvature on standard spheres (2024-07-01)
        • MULTIPLICITY RESULTS FOR THE SCALAR CURVATURE PROBLEM ON HALF SPHERES (2024-07-01)
        • Interior Multi-Peak Solutions for a Slightly Subcritical Nonlinear Neumann Equation (2024-03-01)
        • The Nirenberg Problem on Half Spheres: A Bubbling-off Analysis (2023-12-01)
        • Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems (2023-12-01)
        • MULTISPIKE SOLUTIONS FOR A SLIGHTLY SUBCRITICAL ELLIPTIC PROBLEM WITH NON-POWER NONLINEARITY (2023-02-01)
        • Solar Park Design Intelligent Optimisation for High Power Consumption: FITOLINA Tunisian Group Company's Case Study (2024-01-01)
        • Morse inequalities at infinity for a resonant mean field equation (2023-02-01)
        • The Nirenberg problem on high dimensional half spheres: the effect of pinching conditions (2021-08-01)
        • Construction of solutions of a supercritical elliptic PDE in low dimensions (2021-02-01)
        • Concentrating boundary blow-up solutions of a slightly subcritical Hénon-type problem for all dimensions (2021-01-01)
        • Construction of solutions of an elliptic PDE with a supercritical exponent nonlinearity using the finite dimensional reduction (2020-05-01)
        • Finite-dimensional reduction of a supercritical exponent equation (2020-01-01)
        • Abbas Bahri: A dedicated life (2019-01-01)
        • Partial differential equations arising from physics and geometry: A volume in memory of Abbas Bahri (2019-01-01)
        • Preface (2019-01-01)
        • Harmonic functions with nonlinear Neumann boundary condition and their Morse indices (2017-12-01)
        • On a resonant mean field type equation: A "Critical point at infinity" approach (2017-04-01)
        • Theory of "critical points at infinity" and a resonant singular liouville-type equation (2017-01-02)
        • Scalar curvature type problem on the three dimensional bounded domain (2017-01-01)
        • Existence of conformal metrics with prescribed scalar curvature on the four dimensional half sphere (2012-12-01)
        • Bahri-Coron type theorem for the scalar curvature problem on high dimensional spheres (2012-01-01)
        • Asymptotic behavior and existence results for a biharmonic equation involving the critical sobolev exponent in a five-dimensional domain (2010-11-01)
        • Existence and multiplicity results for a fourth order mean field equation (2010-05-01)
        • On the prescribed scalar curvature on 3-half spheres: Multiplicity results and Morse inequalities at infinity (2009-03-01)
        • Concentration phenomena for a fourth-order equation on ℝ n (2009-01-01)
        • Multiplicity results for the prescribed scalar curvature on low spheres (2008-12-01)
        • Profile and existence of sign-changing solutions to an elliptic subcritical equation (2008-12-01)
        • Nonexistence results of sign-changing solutions to a supercritical nonlinear problem (2008-09-01)
        • Classification of Low-Energy Sign-Changing Solutions to an Almost Critical Problem (2007-09-15)
        • The paneitz curvature problem on lower-dimensional spheres (2007-01-01)
        • Asymptotic behavior of least energy solutions of a biharmonic equation in dimension four (2006-12-21)
        • On a biharmonic equation involving nearly critical exponent (2006-12-01)
        • Blow-up and symmetry of sign-changing solutions to some critical elliptic equations (2006-11-15)
        • On a fourth order elliptic equation with critical nonlinearity in dimension six (2006-03-01)
        • Blow-up and nonexistence of sign changing solutions to the Brezis-Nirenberg problem in dimension three (2006-01-01)
        • On a Yamabe-type problem on a three-dimensional thin annulus (2005-12-01)
        • The scalar curvature problem on the four dimensional half sphere (2005-04-01)
        • Some existence results for a Paneitz-type problem using the theory of critical points at infinity (2005-02-01)
        • On the prescribed scalar curvature problem on the three-dimensional half sphere (2005-01-01)
        • Energy and Morse Index of Solutions to Yamabe-Type Problems on Thin Annuli (2005-01-01)
        • Critical points at infinity in a fourth order elliptic problem with limiting exponent (2004-12-01)
        • On a Variational Problem Involving Critical Sobolev Growth in Four Dimensions (2004-01-01)
        • Existence of conformal metrics on spheres with prescribed Paneitz curvature (2004-01-01)
        • Topological tools in prescribing the scalar curvature on the half sphere (2004-01-01)
        • Nonexistence of bounded energy solutions for a fourth order equation on thin annuli (2004-01-01)
        • A nonexistence result of single peaked solutions to a supercritical nonlinear problem (2003-04-01)
        • A Morse lemma at infinity for Yamabe type problems on domains (2003-01-01)
        • Prescribing the scalar curvature under minimal boundary conditions on the half sphere (2002-12-01)
        • A non-existence result for Yamabe-type problems on thin annuli (2002-01-01)
        • The scalar-curvature problem on higher-dimensional spheres (1998-01-01)
        • On the prescribed scalar curvature problem on 4-manifolds (1996-09-01)

        Teaching materials

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