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We prove sharp regularity results for a general class of functionals of the type w ↦ ∫ F (x, w,
Dw)\, dx, w↦∫ F (x, w, D w) dx, featuring non-standard growth conditions and non-uniform …

We prove some regularity estimates for viscosity solutions to a class of possible degenerate
and singular integro-differential equations whose leading operator switches between two …

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 …

A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems Page 1
Algebra i analiz St. Petersburg Math. J. Tom 31 (2019), 3 Vol. 31 (2020), No. 3, Pages 455–477 …

Regularity for multi-phase variational problems - ScienceDirect Skip to main contentSkip to
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We prove higher Sobolev regularity for bounded weak solutions to a class of nonlinear
nonlocal integro-differential equations. The leading operator exhibits nonuniform growth …

We study the regularity of quasi-minimizers or minimizers of functionals of double phase
type. In recent years, Baroni, Colombo and Mingione have investigated regularity theory for …

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

The aim of this paper is to establish an abstract theory based on the so-called fractional-
maximal distribution functions (FMDs). From the basic ideas introduced in [1], we develop …