activity
20132025
most citedSingular quasilinear elliptic systems in

18 citations · 22 across the 21 of their papers we have counts for

collaborators

26 papers

math.AP2025

Three solutions with precise sign properties for Gierer-Meinhardt type system

Abdelkrim Moussaoui

We establish the existence of three solutions for sign-coupled Gierer-Meinhardt type system with Neumann boundary conditions. Two solutions are of opposite constant-sign while the…

math.AP2025

Constant sign and nodal solutions for singular quasilinear elliptic systems

Nouredine Medjoudj, Abdelkrim Moussaoui

We consider singular quasilinear elliptic systems with homogeneous Dirichlet boundary condition. Using Leray-Schauder topological degree, combined with the sub-supersolutions metho…

math.AP2025

Sub-supersolutions method for singular quasilinear systems involving gradient terms

Abdelkrim Moussaoui

Existence, regularity and location of solutions to quasilinear singular elliptic systems with general gradient dependence are established developing a method of sub-supersolution.…

math.AP2023

Nodal and constant sign solutions for singular elliptic problems

Dumitru Motreanu, Abdelkrim Moussaoui

We establish the existence of multiple solutions for singular quasilinear elliptic problems with a precise sign information: two opposite constant sign solutions and a nodal soluti…

math.AP2023

Existence and uniqueness results to a quasilinear singular Lane-Emden Neumann system

Nouredine Medjoudj, Abdelkrim Moussaoui

We establish the existence and uniqueness of solutions for quasilinear singular Lane-Emden type systems subjected to Neumann boundary conditions. The approach is chiefly based on s…

math.AP2023

Nodal solutions with synchronous sign changing components and Constant sign solutions for singular Gierer-Meinhardt type system

Abdelkrim Moussaoui

We establish the existence of three solutions for singular semilinear elliptic system, two of which are of opposite constant-sign. Under a strong singularity effect, the third solu…

math.AP2023★ 1 cited

Existence and location of nodal solutions for quasilinear convection-absorption Neumann problems

Abdelkrim Moussaoui, Kamel Saoudi

Existence of nodal (i.e., sign changing) solutions and constant sign solutions for quasilinear elliptic equations involving convection-absorption terms are presented. A location pr…

math.AP2022

Multiple solutions to Gierer-Meinhardt systems of elliptic equations

Abdelkrim Moussaoui

We establish the existence of multiple solutions for Gierer-Meinhardt system involving Neumann boundary conditions. The approach combines the methods of sub-supersolution and Leray…

math.AP2022

Multiple solutions to quasi-linear elliptic Robin systems

Umberto Guarnotta, Salvatore A. Marano, Abdelkrim Moussaoui

Two opposite constant-sign solutions to a non-variational p-Laplacian system with Robin boundary conditions are obtained via sub-super-solution techniques. A third nontrivial one c…

math.AP2022★ 1 cited

Singular quasilinear convective systems involving variable exponents

Abdelkrim Moussaoui, Dany Nabab, Jean Velin

The paper deals with the existence of solutions for quasilinear elliptic systems involving singular and convection terms with variable exponents. Our approach combines the sub-supe…

math.AP2021

Multiple solutions for quasilinear elliptic systems involving variable exponents

Abdelkrim Moussaoui, Jean Velin

We establish the existence of multiple solutions for a nonvariational elliptic systems involving -Laplacian operator. The approach combines the methods of sub-supersolution a…

math.AP2021

Nodal solutions for singular semilinear elliptic systems

Abdelkrim Moussaoui

n this paper, we prove existence of nodal solutions for singular semilinear elliptic systems without variational structure where its both components are of sign changing. Our appro…

math.AP2021

Singular Quasilinear Elliptic Systems With Gradient Dependence

Halima Dellouche, Abdelkrim Moussaoui

In this paper, we prove existence and regularity of positive solutions for singular quasilinear elliptic systems involving gradient terms. Our approach is based on comparison prope…

math.AP2021

Singular quasilinear convective elliptic systems in

Umberto Guarnotta, Salvatore A. Marano, Abdelkrim Moussaoui

The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed poi…

math.AP2019

Existence, positivity and boundedness of solutions for systems of quasilinear elliptic equations

Abdelkrim Moussaoui, Jean Vélin

This article sets forth results on the existence, positivity and boundedness of solutions for quasilinear elliptic systems involving p-Laplacian and q-Laplacian operators. The appr…

math.AP2019

Singular quasilinear elliptic systems involving gradient terms

Pasquale Candito, Roberto Livrea, Abdelkrim Moussaoui

In this paper we establish existence of smooth positive solutions for a singular quasilinear elliptic system involving gradient terms. The approach combines sub-supersolutions meth…

math.AP2019★ 1 cited

Nodal solutions to a Neumann problem for a class of (p_1,p_2)-Laplacian systems

P. Candito, S. A. Marano, A. Moussaoui

Nodal solutions of a parametric (p_1,p_2)-Laplacian system, with Neumann boundary conditions, are obtained by chiefly constructing appropriate sub-super-solution pairs.

math.AP2018★ 18 cited

Singular quasilinear elliptic systems in

S. A. Marano, G. Marino, A. Moussaoui

The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point theo…

math.AP2018

A sub-supersolution approach for some classes of nonlocal problems involving Orlicz spaces

Giovany M. Figueiredo, Abdelkrim Moussaoui, Gelson C. G. dos Santos +1

In the present paper we study the existence of solutions for some nonlocal problems involving Orlicz-Sobolev spaces. The approach is based on sub-supersolutions.

math.AP2017

Existence and a priori estimates of solutions for quasilinear singular elliptic systems with variable exponents

Abdelkrim Moussaoui, Jean Vélin

This article sets forth results on the existence, a priori estimates and boundedness of positive solutions of a singular quasilinear systems of elliptic equations involving variabl…

math.AP2017

An elliptic system with logarithmic nonlinearity

Claudianor O. Alves, Abdelkrim Moussaoui, Leandro da S. Tavares

In the present paper we study the existence of solutions for some classes of singular systems involving the p(x) and q(x) Laplacian operators. The approach is based on bifurcation…

math.AP2016★ 1 cited

On the first eigenvalue for a (p(x),q(x))-Laplacian elliptic system

Abdelkrim Moussaoui, Jean Vélin

In this article, we deal about the first eigenvalue for a nonlinear gradient type elliptic system involving variable exponents growth conditions. Positivity, boundedness and regula…

math.AP2016

Existence and regularity of solutions for a class of singular (p(x),q(x))- Laplacian systems

Claudianor O. Alves, Abdelkrim Moussaoui

In this paper we study the existence of positive smooth solutions for a class of singular (p(x),q(x))- Laplacian systems by using sub and supersolution methods.

math.AP2016

Positive solutions for infinite semipositone/positone quasilinear elliptic systems with singular and superlinear terms

Brahim Khodja, Abdelkrim Moussaoui

We establish existence and regularity of positive solutions for a class of quasilinear elliptic systems with singular and superlinear terms. The approach is based on sub-supersolut…