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Maximal regularity for local minimizers of non-autonomous functionals Page 1 © 2021
European Mathematical Society Published by EMS Press. This work is licensed under a CC BY …

We study robust regularity estimates for local minimizers of nonlocal functionals with non-
standard growth of (p, q)-type and for weak solutions to a related class of nonlocal …

We prove Harnack's inequality for local (quasi) minimizers in generalized Orlicz spaces
without polynomial growth or coercivity conditions. As a consequence, we obtain the local …

In this note I present a sufficient condition for the boundedness of the maximal operator on
generalized Orlicz spaces. The result includes as special cases the optimal condition for …

We prove the boundedness of the maximal operator in generalized Orlicz spaces defined on
subsets of R n. The proof is based on an extension result for Φ-functions. We study …

We show local Hölder continuity of quasiminimizers of functionals with non-standard
(Musielak–Orlicz) growth. Compared with previous results, we cover more general …

We prove versions of the Rubio de Francia extrapolation theorem in generalized Orlicz
spaces. As a consequence, we obtain boundedness results for several classical operators …

We study unbounded weak supersolutions of elliptic partial differential equations with
generalized Orlicz (Musielak–Orlicz) growth. We show that they satisfy the weak Harnack …

Sobolev’s inequality for double phase functionals with variable exponents Skip to content
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