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math.AP2026
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…
math.AP2025
Hodge Decomposition and Potentials in Variable Exponent Lebesgue and Sobolev Spaces
Anna Balci, Swarnendu Sil, Mikhail Surnachev
The objective of this work is to establish a systematic study of boundary value problems within the framework of differential forms and variable exponent spaces. Specifically, we i…