Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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The functionals of double phase type H (u):=∫| D u| p+ a (x)| D u| qdx,(q> p> 1, a (x)≥ 0) are
introduced in the epoch-making paper by Colombo-Mingione for constants p and q, and …

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 …

This book is a result of our ten-year fruitful collaboration. It deals with integral operators of
harmonic analysis and their various applications in new, non-standard function spaces …

We show that many classical operators in harmonic analysis—such as maximal operators,
singular integrals, commutators and fractional integrals—are bounded on the variable …

We give continuity conditions on the exponent function p (x) which are sufficient for the
Hardy–Littlewood maximal operator to be bounded on the variable Lebesgue space Lp …

On stationary thermo-rheological viscous flows Page 1 DOI: 10.1007/s11565-006-0002-9
Annali dell’Universit`a di Ferrara 52: 19–36 (2006) Stanislav N. Antontsev · José F. Rodrigues …

Regularity of minima: An invitation to the dark side of the calculus of variations | SpringerLink
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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 …