2 citations · 3 across the 7 of their papers we have counts for
7 papers
Regularity results for a class of nonlinear fractional Laplacian and singular problems
Rakesh Arora, Jacques Giacomoni, Guillaume Warnault
In this article, we investigate the existence, uniqueness, nonexistence, and regularity of weak solutions to the nonlinear fractional elliptic problem of type (see below) inv…
A qualitative study of (p,q) Singular parabolic equations: local existence, Sobolev regularity and asymptotic behaviour
Jacques Giacomoni, Deepak Kumar, K. Sreenadh
The purpose of the article is to study the existence, regularity, stabilization and blow up results of weak solution to the following parabolic -singular equation: \begin{eq…
Nondegeneracy of solutions for a critical Hartree equation
Jacques Giacomoni, Yuanhong Wei, Minbo Yang
The aim of this paper is to prove the nondegeneracy of the unique positive solutions for the following critical Hartree type equations when is close to , $$ -Δu=\left(I_μ\…
Singular doubly nonlocal elliptic problems with Choquard type critical growth nonlinearities
Jacques Giacomoni, Divya Goel, K. Sreenadh
The theory of elliptic equations involving singular nonlinearities is well studied topic but the interaction of singular type nonlinearity with nonlocal nonlinearity in elliptic pr…
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 …