4 papers
Gradient estimates for -harmonic differential forms
Anna Balci, Swarnendu Sil, Mikhail Surnachev
In this paper, we establish gradient bounds for -harmonic differential forms subject to a Coulomb-type gauge condition. For variable exponents satisfying the log-Hölder…
Weighted estimates for Hodge-Maxwell systems
Rohit Mahato, Swarnendu Sil
We establish up to the boundary regularity estimates in weighted spaces with Muckenhoupt weights for weak solutions to the Hodge systems \begin{align*} d^{\ast}\lef…
Continuity estimates for variable growth variational problems in the Heisenberg group
Arka Mallick, Swarnendu Sil
We study regularity results for local minimizers of variable growth variational problem in Heisenberg groups under suitable integrability assumption on the horizontal gradient of t…
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…