1 citations · 2 across the 7 of their papers we have counts for
9 papers
A large class of nonlocal elliptic equations with singular nonlinearities
Rakesh Arora, Phuoc-Tai Nguyen, Vicentiu D. Radulescu
In this work, we address the questions of existence, uniqueness, and boundary behavior of the positive weak-dual solution of equation , posed in…
Existence and regularity results for a class of parabolic problems with double phase flux of variable growth
Rakesh Arora, Sergey Shmarev
We study the homogeneous Dirichlet problem for the equation \[ u_t-\operatorname{div}\left((a(z)\vert \nabla u\vert ^{p(z)-2}+b(z)\vert \nabla u\vert ^{q(z)-2})\nabla u\right)=f\qu…
Multiplicity results for nonhomogeneous elliptic equations with singular nonlinearities
Rakesh Arora
This paper is concerned with the study of multiple positive solutions to the following elliptic problem involving a nonhomogeneous operator with nonstandard growth of - type…
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…
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 …