Anisotropic and inhomogeneous spaces, which are at the core of the present study, may
appear exotic at first. However, the reader should abandon this impression once they realize …

We study the boundary behavior of solutions to the Dirichlet problems for integro-differential
operators with order of differentiability s∈(0, 1) and summability p> 1. We establish a …

We study the gradient regularity of solutions to measure data elliptic systems with Uhlenbeck-
type structure and Orlicz growth. For any bounded Borel measure, pointwise estimates for …

We study nonlinear measure data elliptic problems involving the operator of generalized
Orlicz growth. Our framework embraces reflexive Orlicz spaces, as well as natural variants of …

Boundary value problems for second-order elliptic equations in divergence form, whose
nonlinearity is governed by a convex function of non-necessarily power type, are …

We study solutions to measure data elliptic systems with Uhlenbeck-type structure that
involve operator of divergence form, depending continuously on the spacial variable, and …

We prove the Wolff potential estimates for nonlocal equations with Orlicz growth. As an
application, we obtain the Wiener criterion in this framework, which provides a necessary …

We prove the Wolff potential estimates for nonlocal equations with nonstandard growth. As
an application, we obtain the Wiener criterion in this framework, which provides a necessary …

We study properties of A A-harmonic and A A-superharmonic functions involving an operator
having generalized Orlicz growth. Our framework embraces reflexive Orlicz spaces, as well …

Studying elliptic measure data problem with strongly nonlinear operator whose growth is
described by the means of fully anisotropic N‐function, we prove the uniqueness for a broad …