Explanipedia

Different Treatment Modalities of Women With Gestational Diabetes Mellitus Open

Mohammed Khairy, A. Mohammed, Moataz Mohamed Hassan, Ayman M. Yousef, Mohamed Ben Ayed · 2025

Non existence of solutions for a slightly super-critical elliptic problem with non-power nonlinearity Open

Mohamed Ben Ayed · 2025

In this paper, we are concerned with the following elliptic equation $$ ( SC_\varepsilon ) \qquad \begin{cases} -Δu = |u|^{4/(n-2)}u [\ln (e+|u|)]^\varepsilon & \hbox{ in } Ω,\\ u = 0 & \hbox{ on }\partial Ω, \end{cases} $$ where $Ω$ is a …

Boundary Blowing Up Solutions for an Elliptic Neumann Problem with Nearly Critical Exponent Open

Rakan Almushahhin, Mohamed Ben Ayed · 2025

In this paper, we investigate the nonlinear problem $(P_\varepsilon): -\Delta u + V(x)u = f u^{\frac{n+2}{n-2} - \varepsilon}$, $u > 0$ in $\Omega$ and $\partial u/\partial \nu = 0$ on $\partial \Omega$, where $\Omega$ is a bounded regular…

Boundary Concentrated Solutions for an Elliptic Equation with Subcritical Nonlinearity Open

Saleh Hadi Alharbi, Mohamed Ben Ayed · 2025

In this paper, we consider the nonlinear Neumann problem (Qε):−Δu+V(x)u=un+2n−2−ε, with u>0 in Ω and ∂u/∂ν=0 on ∂Ω, where Ω is a bounded regular domain in Rn, with n≥4, ε is a small positive parameter, and V is a non-constant smooth positi…

Technological, microbiological and sensory quality attributes of goat's milk kefir: comparison between plain and flavored types Open

Mohamed Ben Ayed, Sana Yakoubi, Vasco Cadavez, Úrsula Gonzales-Barrón · 2025

Introduction: Kefir is a popular probiotic drink that strengthens the immune system, reduces lactose intolerance and lowers blood cholesterol levels. It can be made from various milk sources, including goat's milk, which has superior nutri…

Multi-Bubble Blow-up Analysis for an Almost Critical Problem Open

Mohamed Ben Ayed, Khalil El Mehdi · 2025

Consider a smooth, bounded domain $Ø\subset \mathbb{R}^n$ with $n\geq 4$ and a smooth positive function $V$. We analyze the asymptotic behavior of a sequence of positive solutions $u_\e$ to the equation $-Δu +V(x)u =u^{\frac{n+2}{n-2}-\e}$…

Bubbles clustered inside for almost critical problems Open

Mohamed Ben Ayed, Khalil El Mehdi · 2025

We investigate the existence of blowing-up solutions of the following almost critical problem $$ -Δu +V(x)u =u^{p-\e},\quad u>0\quad\mbox{in}\quad Ø,\quad u=0\quad\mbox{on}\quad \partialØ, $$ where $Ø$ is a bounded regular domain in $\math…

Interior Peak Solutions for a Semilinear Dirichlet Problem Open

Hamoud Al-Harbi, Hibah Alkhuzayyim, Mohamed Ben Ayed, Khalil El Mehdi · 2025

In this paper, we consider the semilinear Dirichlet problem (Pε):−Δu+V(x)u=un+2n−2−ε, u>0 in Ω, u=0 on ∂Ω, where Ω is a bounded regular domain in Rn, n≥4, ε is a small positive parameter, and V is a non-constant positive C2-function on Ω¯.…

Bubbles clustered inside for almost-critical problems Open

Mohamed Ben Ayed, Khalil El Mehdi · 2025

We investigate the existence of blowing-up solutions of the following almost-critical problem: − Δ u + V ( x ) u = u p − ε , u > 0 in Ω , u = 0 on ∂ Ω , -\Delta u+V\left(x)u={u}^{p-\varepsilon },\hspace{1.0em}u\gt 0\hs…

Nirenberg problem on high dimensional spheres: blow up with residual mass phenomenon Open

Mohameden Ould Ahmedou, Mohamed Ben Ayed, Khalil El Mehdi · 2024

In this paper, we extend the analysis of the subcritical approximation of the Nirenberg problem on spheres recently conducted in Malchiodi and Mayer(J Differ Equ 268(5):2089–2124, 2020; Int Math Res Not 18:14123–14203, 2021). Specifically,…

On the Nirenberg problem on spheres: Arbitrarily many solutions in a perturbative setting Open

Mohameden Ould Ahmedou, Mohamed Ben Ayed, Khalil El Mehdi · 2024

Given a smooth positive function $K$ on the standard sphere $(\mathbb{S}^n,g_0)$, we use Morse theoretical methods and counting index formulae to prove that, under generic conditions on the function $K$, there are arbitrarily many metrics …

Nirenberg problem on high dimensional spheres: Blow up with residual mass phenomenon Open

Mohameden Ould Ahmedou, Mohamed Ben Ayed, Khalil El Mehdi · 2024

In this paper, we extend the analysis of the subcritical approximation of the Nirenberg problem on spheres recently conducted in [28, 27]. Specifically, we delve into the scenario where the sequence of blowing up solutions exhibits a non-z…

Nirenberg problem on high dimensional spheres: Blow up with residual mass phenomenon Open

Mohameden Ould Ahmedou, Mohamed Ben Ayed, Khalil El Mehdi · 2024

In this paper, we extend the analysis of the subcritical approximation of the Nirenberg problem on spheres recently conducted in \cite{MM19, MM}. Specifically, we delve into the scenario where the sequence of blowing up solutions exhibits …

New multiplicity results in prescribing <i>Q</i>-curvature on standard spheres Open

Mohamed Ben Ayed, Khalil El Mehdi · 2024

In this paper, we study the problem of prescribing Q -Curvature on higher dimensional standard spheres. The problem consists in finding the right assumptions on a function K so that it is the Q -Curvature of a metric conformal to the stand…

Interior Multi-Peak Solutions for a Slightly Subcritical Nonlinear Neumann Equation Open

Mohamed Ben Ayed, Khalil El Mehdi, Fatimetou Mohamed Salem · 2024

In this paper, we consider the nonlinear Neumann problem (Pε): −Δu+V(x)u=K(x)u(n+2)/(n−2)−ε, u>0 in Ω, ∂u/∂ν=0 on ∂Ω, where Ω is a smooth bounded domain in Rn, n≥4, ε is a small positive real, and V and K are non-constant smooth positive f…

Multiplicity results for the scalar curvature problem on half spheres Open

Mohamed Ben Ayed, Khalil El Mehdi · 2024

Given a smooth positive function $ K $ defined on the standard half sphere endowed with its standard metric $ g $, we consider the problem of finding a metric $ \tilde{g} $ conformally equivalent to $ g $ and whose scalar curvature is equa…

On The Nirenberg Problem on Spheres:Arbitrarily Many Solutions in a Perturbative Setting Open

Mohameden Ould Ahmedou, Mohamed Ben Ayed, Khalil El Mehdi · 2024

Frequency and Prognostic Impact of Aberrant Antigens Expression among Egyptian Adult Acute Leukemia Open

Omnia Kaheled, Salah Aref, Nadia El Menshawy, Mohamed Aref, Mohamed Ben Ayed · 2023

CD7 aberrant antigen expression is frequently detected in patients with CN-AML and frequently associated with FLT3 mutation. While in patients with B-ALL the most frequently detected ones are CD33 and CD13 which are frequently associated w…

Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems Open

Mohamed Ben Ayed, Khalil El Mehdi · 2023

In this paper, we consider the Neumann elliptic problem $(\mathcal{P}_{\varepsilon})$ : $-\Delta u +\mu u = u^{(({n+2})/({n-2}))+\varepsilon}$ , $u>0$ in Ω, ${\partial u}/{\partial \nu}=0$ on ∂ Ω…

Prognostic Value of Plasma miR-29a Evaluation in Chronic Lymphocytic Leukemia Patients Open

Salah Aref, Ahmed El Tantawy, Mohamed Aref, Mohamed El Agdar, Mohamed Ben Ayed · 2023

Up regulation of miR-29a expression at CLL diagnosis was detected. Determination of miR-29a expression concentration levels at diagnosis could be demonstrated as a prognostic biomarker in CLL patients.

Prognostic Value of Serum CD200 Concentrations in Chronic Lymphocytic Leukemia Open

Salah Aref, Ahmed El Tantawy, Enas Gouda, Mohamed Ben Ayed · 2023

Determination of sCD200 concentration levels at diagnosis could be used as a prognostic biomarker in CLL patients.

Optimal Solar power plant sizing for high power demands using PSO algorithm and PVsyst: case study FITOULINA Tunisian group company Open

Marwa Ben Arab, Siwar Khamekhem, Mouna Rekik, Lotfi Krıchen, Mohamed Ben Ayed , et al. · 2023

The importance of photovoltaic technology in Industry 4.0 cannot be overstated. As it is well-known, this technology harnesses the solar energy which is becoming a widely popular renewable energy source, and converts it into a clean electr…

Prognostic impact of lipid profile in adult Egyptian acute leukemia patients Open

Tarek Abouzeid, Salah Aref, Mohamed Ben Ayed, Maha M Elshafae, Mohammed Ali Gameil , et al. · 2023

Introduction: Acute leukemia is a malignant disorder which results from clonal proliferation of lymphoid and myeloid blast cells. Several studies have reported changes in lipid metabolism at the time of diagnosis of leukemia. Although inve…

Genetic Polymorphism of Thiopurine S-Methyltransferase in Children with Acute Lymphoblastic Leukemia Open

Afrina Raza, Shamil Ashraf, Soofia Nigar, Itimad Abdelsalam, Mohamed Ben Ayed · 2023

Background: 6-Mercaptopurine (6-MP), a widely used anti-metabolite for the maintenance phase of childhood acute lymphoblastic leukemia (ALL), has been observed to cause myelotoxicity due to genetic polymorphism of thiopurine methyl transfe…

Clinical Implication of DNMT3A and TET2 Genes Mutations in Cytogenetically Normal Acute Myeloid Leukemia Open

Salah Aref, Nahed Mohamed Sallam, Sherin Abd El-Aziz, Osama Salama, Shaimaa Al Ashwah , et al. · 2022

Mutated TET2 and DNMT3A detection define a subgroup of CN-AML patients with poor outcome.

Multispike Solutions for a slightly subcritical elliptic problem with non-power nonlinearity Open

Mohamed Ben Ayed, Habib Fourti, Rabeh Ghoudi · 2022

In this paper, we are concerned with the following elliptic equation$ \left\{\begin{array}{rrl}-\Delta u& = & |u|^{4/(n-2)}u/[\ln (e+|u|)]^\varepsilon \hbox{ in } \Omega,\\ u& = &0 \hbox{ on }\partial \Omega, \end{array} \right. $where $ \…

Multispike Solutions for a slightly subcritical elliptic problem with non-power nonlinearity Open

Mohamed Ben Ayed, Habib Fourti, Rabeh Ghoudi · 2022

In this paper, we are concerned with the following elliptic equation $$\left\{\begin{array}{rrl}-Δu&=& |u|^{4/(n-2)}u/[\ln (e+|u|)]^\varepsilon\hbox{ in } Ω,\\ u&=&0 \hbox{ on }\partial Ω, \end{array} \right.$$ where $Ω$ is a smooth bounde…

Non simple blow ups for the Nirenberg problem on half spheres Open

Mohameden Ould Ahmedou, Mohamed Ben Ayed · 2022

In this paper we study a Nirenberg type problem on standard half spheres consisting of finding conformal metrics of prescribed scalar curvature and zero boundary mean curvature. This problem amounts to solve the following boundary value p…

CD34+/CD38- Stem Cell Burden Could Predict Chronic Myeloid Leukemia Patients’ Outcome Open

Noura Fathy El-Metwaly, Salah Aref, Mohamed Ben Ayed, Manal Abdel Hamid, Ahmed M.A. El-Sokkary · 2021

The percentage of CD34+/CD38- SCs burden at diagnosis reflects the CML disease behavior and is considered a biomarker for predicting CML patients' response to first-line Tyrosine kinase inhibitors (TKI) therapy.

The Nirenberg problem on half spheres: A bubbling off analysis Open

Mohameden Ould Ahmedou, Mohamed Ben Ayed · 2021

In this paper we perform a refined blow up analysis of finite energy approximated solutions to a Nirenberg type problem on half spheres. The later consists of prescribing, under minimal boundary conditions, the scalar curvature to be a giv…

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