105 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR8 papers
- Tunis El Manar UniversityTN8 papers
- Kent State UniversityUS7 papers
- Tunis UniversityTN6 papers
- Institute of Mathematics, Physics, and MechanicsSI5 papers
- Université Paris-SaclayFR5 papers
- University of LjubljanaSI5 papers
- CEA Paris-SaclayFR4 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR4 papers
- Dammam Central HospitalSA4 papers
- Institut de Physique ThéoriqueFR4 papers
- Laboratoire Analyse, Géométrie et ApplicationsFR4 papers
26 papers · 1 filter
Neumann problem with a discontinuous nonlinearity
Debajyoti Choudhuri, Dušan D. Repovš, Kamel Saoudi
This study is devoted to proving the existence of weak solutions for a nonlinear elliptic problem with Neumann-type boundary data. The problem is driven by a discontinuous power no…
Pairs of fixed points for a class of operators on Hilbert spaces
A. Mokhtari, K. Saoudi, D. D. Repovš
In this paper, existence of pairs of solutions is obtained for compact potential operators on Hilbert spaces. An application to a second-order boundary value problem is also given…
Nodal solutions for Neumann systems with gradient dependence
Kamel Saoudi, Eadah Alzahrani, Dušan D. Repovš
We consider the following convective Neumann systems:\begin{equation*}\left(\mathrm{S}\right)\qquad\left\{\begin{array}{ll}-Δ_{p_1}u_1+\frac{|\nabla u_1|^{p_1}}{u_1+δ_1}=f_1(x,u_1,…
Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schrödinger equation
Ruobing Bai, Mohamed Majdoub, Tarek Saanouni
We investigate the blow-up for a fourth-order Schrödinger equation with a mas-critical focusing inhomogeneous nonlinearity. We prove the finite/infinite-time blow-up of non-radial…
An inhomogeneous nonlinear parabolic equation with concave nonlinearity
Miguel Loayza, Mohamed Majdoub
We establish both the existence and uniqueness of non-negative global solutions for the nonlinear heat equation , , in the whole space $\mathbb{R…
NLS equation with competing inhomogeneous nonlinearities: ground states, blow-up, and scattering
Tianxiang Gou, Mohamed Majdoub, Tarek Saanouni
We investigate a class of nonlinear equations of Schrödinger type with competing inhomogeneous nonlinearities in the non-radial inter-critical regime, \begin{align*} i \partial_t u…
Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity
Mohamed Ali Hamza, Yuta Wakasugi, Shuji Yoshikawa
In this article we investigate the asymptotic profile of solutions for the Cauchy problem of the nonlinear damped beam equation with two variable coefficients: \[ \partial_t^2 u +…
Exact Solutions for Nonlinear Partial Differential Equations: A Fusion of Classical Methods and Innovative Approaches
Noureddine Mhadhbi, Sameh Gana, Mazen Fawaz Alsaeedi
This article demonstrates how variation of parameters can be successfully implemented in combination with other classical techniques, such as the method of characteristics, to deri…
On elliptic problems with Choquard term and singular nonlinearity
Debajyoti Choudhuri, Dušan D. Repovš, Kamel Saoudi
Using variational methods, we establish the existence of infinitely many solutions to an elliptic problem driven by a Choquard term and a singular nonlinearity. We further show tha…
Nonlocal -Kirchhoff equations with singular and critical nonlinearity terms
A. Ghanmi, M. Kratou, K. Saoudi +1
The objective of this work is to investigate a nonlocal problem involving singular and critical nonlinearities:\begin{equation*}\left\{\begin{array}{ll} ([u]_{s,p}^p)^{σ-1}(-Δ)^s_p…
On weak solutions for fourth-order problems involving the Leray-Lions type operators
K. Kefi, D. D. Repovš, K. Saoudi
We investigate existence and multiplicity of weak solutions for fourth-order problems involving the Leray-Lions type operators in variable exponent spaces and improve a result of B…
The Nehari manifold approach for singular equations involving the p(x)-Laplace operator
Dušan D. Repovš, Kamel Saoudi
We study the following singular problem involving the p-Laplace operator , where is a nonconstant continuous function, \beg…
A singular elliptic problem involving fractional -Laplacian and a discontinuous critical nonlinearity
Kamel Saoudi, Akasmika Panda, Debajyoti Choudhuri
In this article, we prove the existence of solutions to a nonlinear nonlocal elliptic problem with a singualrity and a discontinuous critical nonlinearity which is given as follows…
Blow-up and lifespan estimates for a damped wave equation in the Einstein-de Sitter spacetime with nonlinearity of derivative type
Makram Hamouda, Mohamed Ali Hamza, Alessandro Palmieri
In this article, we investigate the blow-up for local solutions to a semilinear wave equation in the generalized Einstein - de Sitter spacetime with nonlinearity of derivative type…
The blow-up rate for a non-scaling invariant semilinear heat equation
Mohamed Ali Hamza, Hatem Zaag
We consider the semilinear heat equation with , where is Sobolev…
A note on the nonexistence of global solutions to the semilinear wave equation with nonlinearity of derivative-type in the generalized Einstein-de Sitter spacetime
Makram Hamouda, Mohamed Ali Hamza, Alessandro Palmieri
In this paper, we establish blow-up results for the semilinear wave equation in generalized Einstein-de Sitter spacetime with nonlinearity of derivative type. Our approach is based…
The blow-up rate for a non-scaling invariant semilinear wave equations in higher dimensions
Mohamed Ali Hamza, Hatem Zaag
We consider the semilinear wave equation with , where and $a\in…
Relaxation to equilibrium in the one-dimensional thin-film equation with partial wetting
Mohamed Majdoub, Nader Masmoudi, Slim Tayachi
We investigate the large time behavior of compactly supported solutions for a one-dimensional thin-film equation with linear mobility in the regime of partial wetting. We show the…
Blow-up for wave equation with the scale-invariant damping and combined nonlinearities
Makram Hamouda, Mohamed Ali Hamza
In this article, we study the blow-up of the damped wave equation in the \textit{scale-invariant case} and in the presence of two nonlinearities. More precisely, we consider the fo…
The blow-up rate for a non-scaling invariant semilinear wave equations
Mohamed ali Hamza, Hatem Zaag
We consider the semilinear wave equation with , where and $a\i…
Least energy sign-changing solution of fractional -Laplacian problems involving singularities
Sekhar Ghosh, Kamel Saoudi, Mouna Kratou +1
In this paper we study the existence of a least energy sign-changing solution to a nonlocal elliptic PDE involving singularity by using the Nehari manifold method, the constraint v…
Prescribing the center of mass of a multi-soliton solution for a perturbed semilinear wave equation
M. A. Hamza, Hatem Zaag
We construct a finite-time blow-up solution for a class of strongly perturbed semilinear wave equation with an isolated characteristic point in one space dimension. Given any integ…
Scattering in the weighted -space for a 2D nonlinear Schrödinger equation with inhomogeneous exponential nonlinearity
Abdelwahab Bensouilah, Van Duong Dinh, Mohamed Majdoub
We investigate the defocusing inhomogeneous nonlinear Schrödinger equation $$ i \partial_tu + Δu = |x|^{-b} \left({\rm e}^{α|u|^2} - 1- α|u|^2 \right) u, \quad u(0)=u_0, \quad x \i…
Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity
Kamel Saoudi, Sekhar Ghosh, Debajyoti Choudhuri
In this paper, we prove the existence of multiple solutions for a nonlinear nonlocal elliptic PDE involving a singularity which is given as \begin{eqnarray} (-Δ_p)^s u&=& \fracλ{u^…