Swarnendu Sil

activity

20172026

most citedLimiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients

15 citations · 54 across the 13 of their papers we have counts for

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9 papers · 1 filter

math.AP2026

A unified approach to nonlinear Stein theorems

Arka Mallick, Swarnendu Sil

We study regularity for the variable exponent quasilinear $p (x)$ -Laplace type equation on domains in Heisenberg groups and Euclidean spaces. We establish bord…

math.AP2026

Gradient estimates for $p (\cdot)$ -harmonic differential forms

Anna Balci, Swarnendu Sil, Mikhail Surnachev

In this paper, we establish gradient bounds for $p (\cdot)$ -harmonic differential forms subject to a Coulomb-type gauge condition. For variable exponents satisfying the log-Hölder c…

math.AP2026

Weighted estimates for Hodge-Maxwell systems

Rohit Mahato, Swarnendu Sil

We establish up to the boundary regularity estimates in weighted $L^{p}$ spaces with Muckenhoupt weights $A_{p}$ for weak solutions to the Hodge systems \begin{align*} d^{\ast}\lef…

math.AP2025

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…

math.AP2024

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 $p$ -Laplace type equation in Heisenberg groups. We prove somewhat surprising excess decay estimates for the…

math.AP2024

Morrey-Lorentz estimates for Hodge-type systems

Banhirup Sengupta, Swarnendu Sil

We prove up to the boundary regularity estimates in Morrey-Lorentz spaces for weak solutions of the linear system of differential forms with regular anisotropic coefficients \begin…

math.AP2023

BMO estimates for Hodge-Maxwell systems with discontinuous anisotropic coefficients

Dharmendra Kumar, Swarnendu Sil

We prove up to the boundary $BMO$ estimates for linear Maxwell-Hodge type systems for $R^{N}$ -valued differential $k$ -forms $u$ in $n$ dimensions \begin{align*} \…

math.AP2019★ 15 cited

Limiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients

Hoai Minh Nguyen, Swarnendu Sil

We study the limiting absorption principle and the well-posedness of Maxwell equations with anisotropic sign-changing coefficients in the time-harmonic domain. The starting point o…

math.AP2018

Nonlinear Stein theorem for differential forms

Swarnendu Sil

We prove that if $u$ is an $R^{N}$ -valued $W_{l oc}^{1, p}$ differential $k$ -form with $δ (a (x) ∣ d u ∣^{p - 2} d u) \in L_{l oc}^{(n, 1)}$ in a domain of $\…

A unified approach to nonlinear Stein theorems

Gradient estimates for p(⋅)-harmonic differential forms

Weighted estimates for Hodge-Maxwell systems

Continuity estimates for variable growth variational problems in the Heisenberg group

Excess decay for quasilinear equations in the Heisenberg group and consequences

Morrey-Lorentz estimates for Hodge-type systems

BMO estimates for Hodge-Maxwell systems with discontinuous anisotropic coefficients

Limiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients

Nonlinear Stein theorem for differential forms

Gradient estimates for $p (\cdot)$ -harmonic differential forms