Non-autonomous functionals, borderline cases and related function classes

320 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces (2018, background): “See [20] for detailed information on the nature of the mutual relation of these two function spaces.”
Regularity of minimizers under limit growth conditions (2017, unknown): “The bibliography on the regularity under p, q-growth is large; we recall some recent papers on the subject: [2,7,6,21] and, by the authors, [9,12]; in the vector-valued case [10,11]; we refer to [26] for a detailed survey on the subject.”
Extrapolation and interpolation in generalized Orlicz spaces (2018, methodology): “A framework in the same spirit was also recently introduced in [6] The goal of this paper is to develop harmonic analysis on generalized Orlicz spaces by extending the theory of Rubio de Francia extrapolation to this setting.”
On a p(x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{p(x)}$$\end{document}-biharmonic problem with singula (2017, background): “[4,7], namelydouble-phase problems with associated energies of the type u → ∫”