Tomasz Adamowicz

activity

20152019

most citedVariational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups

2 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2019★ 2 cited

Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups

Tomasz Adamowicz, Antoni Kijowski, Andrea Pinamonti +1

Let $1 < p \leq \infty$ . We provide an asymptotic characterization of continuous viscosity solutions $u$ of the normalized $p$ -Laplacian $Δ_{p G}^{N} u = 0$ in any Carnot group…

math.AP2017★ 1 cited

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…

math.AP2015

Hölder continuity of quasiminimizers with nonstandard growth

Tomasz Adamowicz, Olli Toivanen

We show the Hölder continuity of quasiminimizers of the energy functionals $\int f (x, u, \nabla u) d x$ with nonstandard growth under the general structure conditions $$ |z|^{p(x)} -…