45 citations · 173 across the 35 of their papers we have counts for
10 papers · 1 filter
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…
Existence of at least solutions to a fractional -Kirchhoff problem involving singularity and critical exponent
Sekhar Ghosh, Debajyoti Choudhuri, Alessio Fiscella
We study the existence of nonnegative solutions to the following nonlocal elliptic problem involving singularity \begin{align} \mathfrak{M}\left(\int_{Q}\frac{|u(x)-u(y)|^p}{|x-y|^…
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 Hölder regularity of infinitely many solutions to a -Kirchhoff type problem involving a singular nonlinearity without the Ambrosetti-Rabinowitz (AR) condition
Debajyoti Choudhuri
We carry out an investigation of the existence of infinitely many solutions to a fractional -Kirchhoff type problem with a singularity and a superlinear nonlinearity with a homo…
Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity
Sekhar Ghosh, Debajyoti Choudhuri, Ratan Kr. Giri
We prove the existence of infinitely many nonnegative solutions to the following nonlocal elliptic partial differential equation involving singularities \begin{align} (-Δ)_{p(\cdot…
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…
A weighted fractional problem involving a singular nonlinearity and a data
Akasmika Panda, Debajyoti Choudhuri, Leandro S. Tavares
In this article, we show the existence of a unique entropy solution to the following problem: \begin{equation} \begin{split} (-Δ)_{p,α}^su&= f(x)h(u)+g(x) ~\text{in}~Ω,\\ u&>0~\tex…
A study of the Prandtl Batchelor problem using variational method
Debajyoti Choudhuri, Jiabin Zuo
In this paper, we investigate the existence of nontrivial weak solutions for the Prandtl-Batchelor type free boundary value elliptic problem driven by a power nonlinearity. The alg…
Existence of positive solutions for a singular elliptic problem with critical exponent and measure data
Akasmika Panda, Debajyoti Choudhuri, Ratan K. Giri
We prove the existence of a positive {\it SOLA (Solutions Obtained as Limits of Approximations)} to the following PDE involving fractional power of Laplacian \begin{equation} \begi…