20 citations · 53 across the 46 of their papers we have counts for
4 papers · 1 filter
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…
Doubly nonlinear equation involving -homogeneous operators: local existence, uniqueness and global behaviour
Rakesh Arora, Jacques Giacomoni, Guillaume Warnault
In this work, we investigate the qualitative properties as uniqueness, regularity and stabilization of the weak solution to the nonlinear parabolic problem involving general …
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…
Regularity results on a class of doubly nonlocal problems
Jacques Giacomoni, Divya Goel, K. Sreenadh
The purpose of this article is twofold. First, an issue of regularity of weak solution to the problem (See below) is addressed. Secondly, we investigate the question of …