1 citations · 1 across the 6 of their papers we have counts for
9 papers
Non-homogeneous -fractional Laplacian systems with lack of compactness
Debangana Mukherjee, Tuhina Mukherjee
The present paper studies the existence of weak solutions for the following type of non-homogeneous system of equations \begin{equation*} (S) \left\{\begin{aligned} (-Δ)^{s_1}_{p_1…
On the study of semilinear non-local elliptic systems
Debangana Mukherjee, Debopriya Mukherjee
The purpose of this paper is to study the existence of solutions for semilinear elliptic system driven by fractional Laplacian and establish some new existence results which are ob…
On the existence of three non-negative solutions for a -Laplacian system
Debangana Mukherjee, Tuhina Mukherjee
The present paper studies the existence of weak solutions for \begin{equation*} (\mathcal{P}) \left\{\begin{aligned} (-Δ)^{s_1}_{p_1} u &=\la f_1\,(x,u,v) +g_1(x,u) \,\mbox{ in }\,…
Multiplicity results for non-local elliptic problems with jumping nonlinearity
Debangana Mukherjee
The present paper studies the fractional -Laplacian boundary value problems with jumping nonlinearities at zero or infinity and obtain the existence of multiple solutions and si…
On the existence of multiple solutions for fractional Brezis Nirenberg type equations
Debangana Mukherjee
The present paper studies the non-local fractional analogue of the famous paper of Brezis and Nirenberg in [4]. Namely, we focus on the following model, $$\begin{align*}\left(\math…
Uniqueness of the critical point for semi-stable solution in
Fabio De Regibus, Massimo Grossi, Debangana Mukherjee
In this paper we show the uniqueness of the critical point for \emph{semi-stable} solutions of the problem $$\begin{cases} -Δu=f(u)&\text{in }Ω\\ u>0&\text{in }Ω\\ u=0&\text{on } \…