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

We consider the nonlocal double phase equation PV&R^n|u(x)-u(y)|^p-2(u(x)-
u(y))K_sp(x,y)\,dy\&+PVR^na(x,y)|u(x)-u(y)|^q-2(u(x)-u(y))K_tq(x,y)\,dy=0, where 1<p≦q and …

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 …

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 introduce a new class of quasi-linear parabolic equations involving nonhomogeneous
degeneracy or/and singularity∂ tu=[| D u| q+ a (x, t)| D u| s] Δ u+(p-2) D 2 u Du| D u|, Du| D …

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 …

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 …

We study the boundary continuity of solutions to elliptic equations with Orlicz growth. We first
formulate the Wiener criterion which characterizes a regular boundary point by a geometric …