Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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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 establish pointwise estimates expressed in terms of a nonlinear potential of a
generalized Wolff type for $ A $-superharmonic functions with nonlinear operator …

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 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 …

In this work, we consider second-order elliptic equations with nonlinearities determined by
Musielak–Orlicz functions and summable right-hand side. The equivalence of entropy …

We study the existence of very weak solutions to a system-div A (x, D u)= μ in Ω, u= 0 on∂ Ω
with a datum μ being a vector-valued bounded Radon measure and A: Ω× R n× m→ R n× m …

В работе рассматривается квазилинейное эллиптическое уравнение второго порядка с
правой частью в виде меры специального вида. Ограничения на структуру уравнения …

We establish pointwise bounds expressed in terms of a nonlinear potential of a generalized
Wolff type for 𝒜-superharmonic functions with nonlinear operator 𝒜: Ω× ℝ n→ ℝ n having …