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 …

Harnack inequalities for double phase functionals - ScienceDirect Skip to main contentSkip to
article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue …

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 consider a wide class of functionals with the property of changing their growth and
ellipticity properties according to the modulating coefficients in the framework of Musielak …

We prove Harnack's inequality for local (quasi) minimizers in generalized Orlicz spaces
without polynomial growth or coercivity conditions. As a consequence, we obtain the local …

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

In this article a new method for moving from local to global results in variable exponent
function spaces is presented. Several applications of the method are also given: Sobolev …

In this paper, we study local regularity properties of minimizers of nonlocal variational
functionals with variable exponents and weak solutions to the corresponding Euler …

We study the Dirichlet ϕ-energy integral with Sobolev boundary values. The function ϕ has
generalized Orlicz growth. Special cases include variable exponent and double phase …

We consider a nonlinear elliptic problem in divergence form, with nonstandard growth
conditions, on a bounded domain. We obtain the global Calderón–Zygmund type gradient …