24 citations · 68 across the 26 of their papers we have counts for
8 papers · 1 filter
Dirichlet-type energy of mappings between two concentric annuli
Jiaolong Chen, David Kalaj
Let and be two non-degenerate spherical annuli in equipped with the Euclidean metric and the weighted metric , respectivel…
QCH mappings between unit ball and domain with boundary
Anton Gjokaj, David Kalaj
We prove the following. If is a harmonic quasiconformal mapping between the unit ball in and a spatial domain with boundary, then is Lipschitz cont…
Harmonic maps between two concentric annuli in
David Kalaj
Given two annuli and , in equipped with the Euclidean metric and the weighted metric respectively, we minimi…
Total energy of radial mappings
Shaolin Chen, David Kalaj
The main aim of this paper is to extend one of the main results of Iwaniec and Onninen (Arch. Ration. Mech. Anal., 194: 927-986, 2009). We prove that, the so called total energy fu…
Schwarz lemma for harmonic mappings in the unit ball
David Kalaj
We prove the following generalization of Schwarz lemma for harmonic mappings. If is a harmonic mapping of the unit ball onto itself such that and $\|u\|_p:=\left…
Heinz inequality for the unit ball
David Kalaj
We first prove the following generalization of Schwarz lemma for harmonic mappings. Let be a harmonic mapping of the unit ball onto itself. Then we prove the inequality $\|u(x)…