In this article, we consider the H\"{o} lder continuity of injective maps in Orlicz-Sobolev
classes defined on the unit ball. Under certain conditions on the growth of dilatations, we …

We give the lower bound for the modulus of the radial derivatives and Jacobian of harmonic
injective mappings from the unit ball onto convex domain in plane and space. As an …

We prove the following. If f is a harmonic quasiconformal mapping between the unit ball in ℝ
n R^n and a spatial domain with C 1, α boundary, then f is Lipschitz continuous in B. This …

On Pavlovic’s Theorem in Space Page 1 Potential Anal (2015) 43:361–370 DOI 10.1007/s11118-015-9475-4
On Pavlovic’s Theorem in Space Kari Astala1,2,3 ·Vesna Manojlovic4 Received: 30 October …

Here we review M. Mateljević's article [9], with some novelities. We focus on mappings
between smooth domains which have bounded Laplacian. As an application, if these …

We establish that every K-quasiconformal mapping w of the unit disk DD onto a C 2-Jordan
domain Ω is Lipschitz provided that Δ w∈ L p (DD) for some p> 2. We also prove that if in …

In this paper, we establish the Hölder continuity of hyperbolic Poisson integral and
hyperbolic Green integral, respectively. Firstly, we prove that the mapping u= G h [ψ] is …

In this paper, we study α¯-harmonic mappings with an integer exponent and obtain a
representation theorem which determines the relation between α¯-harmonic mappings and …

Let f be a twice continuously differentiable self-mapping of a unit disk satisfying Poisson
differential inequality∣ Δ f (z)∣≤ B·∣ Df (z)∣ 2 for some B> 0 and f (0)= 0. In this note, we …

We prove that every K-quasiconformal mapping w of the unit ball B⊂ Rn, n≥ 2 onto a C2-
Jordan domain Ω is Hölder continuous with constant α= 2− np, provided its weak Laplacian∆ …