This book provides an accessible introduction to the theory of variable Lebesgue spaces.
These spaces generalize the classical Lebesgue spaces by replacing the constant exponent …

The field of variable exponent function spaces has witnessed an explosive growth in recent
years. The standard reference article for basic properties is already 20 years old. Thus this …

We consider a class of non-uniformly nonlinear elliptic equations whose model is given by−
div (| D u| p− 2 D u+ a (x)| D u| q− 2 D u)=− div (| F| p− 2 F+ a (x)| F| q− 2 F) where p< q and a …

In this paper we are concerned with a class of double phase energy functionals arising in
the theory of transonic flows. Their main feature is that the associated Euler equation is …

Regularity of minima: An invitation to the dark side of the calculus of variations | SpringerLink
Skip to main content Advertisement SpringerLink Log in Menu Find a journal Publish with us …

Differential equations with non-standard growth have been a very active field of investigation
in recent years. In this survey we present an overview of the field, as well as several of the …

We establish local Calderón-Zygmund-type estimates for a class of parabolic problems
whose model is the nonhomogeneous, degenerate/singular parabolic p-Laplacian system ut …

We are concerned with the study of two classes of nonlinear problems driven by differential
operators with unbalanced growth, which generalize the (p, q)-and (p (x), q (x))-Laplace …

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 …

In this article we provide an overview of several open problems in variable exponent spaces.
The problems are related to boundedness of the maximal operator, interpolation theory …