24 citations · 152 across the 76 of their papers we have counts for
8 papers · 1 filter
Gaussian curvature of minimal graphs in
David Kalaj
In this paper, we consider minimal graphs in the three-dimensional Riemannian manifold . We mainly estimate the Gaussian curvature of such surfaces. We consider…
Gaussian curvature conjecture for minimal graphs
David Kalaj, Petar Melentijevic
In this paper, we solve the longstanding Gaussian curvature conjecture of a minimal graph over the unit disk. The conjecture asserts that for any minimal graph above the unit d…
Zero-curvature point of minimal graphs
David Kalaj
Motivated by a classical result of Finn and Osserman (1964), who proved that the Scherk surface over the square inscribed in the unit disk is extremal for the Gaussian curvature of…
Lipschitz regularity of energy-minimal mappings between doubly connected Riemann surfaces
David Kalaj
Let and be doubly connected Riemann surfaces with boundaries and with nonvanishing conformal metrics and respectively, and assume that i…
Curvature of minimal graphs
David Kalaj
We consider the Gaussian curvature conjecture of a minimal graph over the unit disk. First of all we reduce the general conjecture to the estimating the Gaussian curvature of s…
Schwarz-Pick lemma for harmonic maps which are conformal at a point
Franc Forstneric, David Kalaj
We obtain a sharp estimate on the norm of the differential of a harmonic map from the unit disc in into the unit ball in , $n\ge…