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math.AP2026
Variable Exponent Regularity via Muckenhoupt Condition
Daviti Adamadze, Anna Kh. Balci, Lars Diening
For the first time, we establish higher integrability of the gradient and local estimates of weak solutions to the -Laplacian without assuming -Hölder contin…
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 c…