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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Showing 2026 · math.APShow all

3 papers · 2 filters

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…

A unified approach to nonlinear Stein theorems

Gradient estimates for p(⋅)-harmonic differential forms

Weighted estimates for Hodge-Maxwell systems

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