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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
Double phase meets Muckenhoupt
Daviti Adamadze, Lars Diening, Tengiz Kopaliani +1
In this paper we generalize the famous result of [FKS] to the double phase model. In particular, we work with minimal assumptions on the modulating coefficient by introducing a Muc…