45 citations · 117 across the 15 of their papers we have counts for
15 papers
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,…
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…
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…
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…
Elliptic problem in an exterior domain driven by a singularity with a nonlocal Neumann condition
D. Choudhuri, K. Saoudi
We prove the existence of ground state solution to the following problem. \begin{align*} (-Δ)^{s}u+u&=λ|u|^{-γ-1}u+P(x)|u|^{p-1}u,~\text{in}~\mathbb{R}^N\setminusΩ\\ N_su(x)&=0,~\t…
A parabolic problem involving -Laplacian, a power and a singular nonlinearity
Akasmika Panda, Debajyoti Choudhuri, Kamel Saoudi
The purpose of this paper is to study nonlinear singular parabolic equations with - Laplacian. Precisely, we consider the following problem and discuss the existence of a non…
Singular Fractional Choquard Equation with a Critical Nonlinearity and a Radon measure
Akasmika Panda, Debajyoti Choudhuri, Kamel Saoudi
This article concerns about the existence of a positive SOLA (Solutions Obtained as Limits of Approximations) for the following singular critical Choquard problem involving fractio…
Existence and multiplicity of solutions to a Laplacian system with a concave and singular nonlinearities
Debajyoti Choudhuri, Kamel Saoudi, Kratou Mouna
In this paper we study the existence of multiple nontrivial positive weak solutions to the following system of problems. \begin{align*} \begin{split} -Δ_{p}u-Δ_q u &= λf(x)|u|^{r-2…
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…
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^…