Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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Anisotropic and inhomogeneous spaces, which are at the core of the present study, may
appear exotic at first. However, the reader should abandon this impression once they realize …

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 …

Abstract The Musielak–Orlicz setting unifies variable exponent, Orlicz, weighted Sobolev,
and double-phase spaces. They inherit technical difficulties resulting from general growth …

We prove the density of smooth functions in the modular topology in Musielak–Orlicz–
Sobolev spaces essentially extending the results of Gossez [17] obtained in the Orlicz …

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

Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak–Orlicz–Sobolev
spaces - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

In this paper we mainly prove the existence and uniqueness of entropy solutions and the
uniqueness of renormalized solutions to the general nonlinear elliptic equations in Musielak …

Anisotropic generalized Orlicz spaces have been investigated in many recent papers, but
the basic assumptions are not as well understood as in the isotropic case. We study the …