1 citations · 1 across the 2 of their papers we have counts for
3 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…
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 …
A picone Identity for variable exponent operators and applications
Rakesh Arora, Jacques Giacomoni, Guillaume Warnault
In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the -Laplacian defined as $\mbox{div}(|\nabla u|^{p(x)-2} \nabla u).$ Our exte…