1 citations · 1 across the 10 of their papers we have counts for
4 papers · 1 filter
Minimal surfaces over the Pitot quadrilaterals
Vladimir Dragović, David Kalaj
We develop a fully explicit framework for constructing Scherk-type minimal graphs over the Pitot quadrilaterals (i.e. such that the two pairs of opposite sides have the same total…
On generalized M. Riesz conjugate function theorem for harmonic mappings
Anton Gjokaj, David Kalaj, Djordjije Vujadinovic
Let be the Lesbegue space of complex-valued functions defined in the unit circle . In this paper, we address the prob…
On a sharp form of curvature conjecture for minimal graphs
David Kalaj
Recently, the author and Melentijević resolved the longstanding Gaussian curvature problem by proving the sharp inequality \[ |\mathcal{K}| < c_0 = \frac{π^2}{2} \] for minimal gra…
Zygmund theorem for harmonic quasiregular mappings
David Kalaj
Let . We prove Zygmund theorem for quasiregular harmonic mappings in the unit disk in the complex plane by providing a constant in the inequality $$…