11 citations · 11 across the 5 of their papers we have counts for
6 papers
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…
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…