3 citations · 7 across the 4 of their papers we have counts for
5 papers · 1 filter
Schwarzians on the Heisenberg group
Tomasz Adamowicz, Ben Warhurst
We study various notions of the Schwarzian derivative for contact mappings in the Heisenberg group and introduce two definitions: (1) the CR Schwarzian derivative ba…
Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces
Tomasz Adamowicz, Giona Veronelli
We investigate the logarithmic convexity of the length of the level curves for harmonic functions on surfaces and related isoperimetric type inequalities. The results deal with smo…
Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups
Tomasz Adamowicz, Antoni Kijowski, Andrea Pinamonti +1
Let . We provide an asymptotic characterization of continuous viscosity solutions of the normalized -Laplacian in any Carnot group…
Mean value property and harmonicity on Carnot-Carathéodory groups
Tomasz Adamowicz, Ben Warhurst
We study strongly harmonic functions in Carnot-Carathéodory groups defined via the mean value property with respect to the Lebesgue measure. For such functions we show their Sobole…
Hölder continuity of quasiminimizers with nonstandard growth
Tomasz Adamowicz, Olli Toivanen
We show the Hölder continuity of quasiminimizers of the energy functionals with nonstandard growth under the general structure conditions $$ |z|^{p(x)} -…