8 citations · 11 across the 21 of their papers we have counts for
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Adams-Moser-Trudinger inequality in the cartesian product of Sobolev spaces and its applications
Rakesh Arora, Jacques Giacomoni, Tuhina Mukherjee +1
The main aim of this article is to study non-singular version of Moser-Trudinger and Adams-Moser-Trudinger inequalities and the singular version of Moser-Trudinger equality in the…
Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights
R. Arora, J. Giacomoni, T. Mukherjee +1
In this work, we study the higher order Kirchhoff type Choquard equation involving a critical exponential non-linearity and singular weights. We prove the existence of solut…
Kirchhoff equations with Choquard exponential type nonlinearity involving the fractional Laplacian
Sarika Goyal, Tuhina Mukherjee
In this article, we deal with the existence of non-negative solutions of the class of following non local problem $$ \left\{ \begin{array}{lr} \quad - M\left(\displaystyle\int_{\ma…
On a class of weighted p-Laplace equation with singular nonlinearity
P. Garain, T. Mukherjee
This article deals with the existence of the following quasilinear degenerate singular elliptic equation \begin{equation*} (P_\la)\left\{ \begin{split} -\text{div}(w(x)|\nabla u|^{…