24 citations · 152 across the 76 of their papers we have counts for
8 papers · 1 filter
Energy-minimal diffeomorphisms between doubly connected Riemann surfaces
David Kalaj
Let and be doubly connected Riemann surfaces and assume that is a smooth metric with bounded Gauss curvature and finite area. The paper esta…
Radius of Close-to-convexity of Harmonic Functions
David Kalaj, Saminathan Ponnusamy, Matti Vuorinen
Let denote the class of all normalized complex-valued harmonic functions in the unit disk , and let denote the harmonic Koeb…
Charatheodory and Smirnov type theorem for harmonic mappings
David Kalaj, Marijan Markovic, Miodrag Mateljevic
We prove a version of Smirnov type theorem and Charatheodory type theorem for a harmonic homeomorphism of the unit disk onto a Jordan surface with rectifiable boundary. Further we…
Gauss map of a harmonic surface
David Kalaj
We prove that the distortion function of the Gauss map of a harmonic surface coincides with the distortion function of the surface. Consequently, Gauss map of a harmonic surface is…
Quasiconformal harmonic mappings between Euclidean surfaces
David Kalaj
The conformal deformations are contained in two classes of mappings: quasiconformal and harmonic mappings. In this paper we consider the intersection of these classes. We show that…
Subharmonicity of the modulus of quasiregular harmonic mappings
David Kalaj, Vesna Manojlović
In this note we determine all numbers such that is a subharmonic function, provided that is a quasiregular harmonic mappings in an open subset …