4 papers · 1 filter
Excess decay for quasilinear equations in the Heisenberg group and consequences
Arka Mallick, Swarnendu Sil
We study regularity results for the solutions of quasilinear subelliptic -Laplace type equation in Heisenberg groups. We prove somewhat surprising excess decay estimates for the…
The Caffarelli-Kohn-Nirenberg Inequalities For Radial Functions
Arka Mallick, Hoai-minh Nguyen
We establish the full range of the Caffarelli-Kohn-Nirenberg inequalities for radial functions in the Sobolev and the fractional Sobolev spaces of order . In particula…
Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Sobolev-Coulomb spaces
Arka Mallick, Hoai-Minh Nguyen
We establish the full range Gagliardo-Nirenberg and the Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Sobolev-Coulomb spaces for the (fractional) derivative…
On the Strong unique continuation property of a degenerate elliptic operator with Hardy type potential
Agnid Banerjee, Arka Mallick
In this paper we prove strong unique continuation for the following degenerate elliptic equation \begin{equation}\label{e0} Δ_zu +|z|^2\partial_t^2u = Vu,\quad (z,t) \in \mathbb{R}…