2 papers
math.AP2026
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…
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…