3 papers
math.CV2025
A condition equivalent to the Hölder continuity of harmonic functions on unbounded Lipschitz domains
Marijan Markovic
Our main result concerns the behavior of bounded harmonic functions on a domain in which may be represented as a strict epigraph of a Lipschitz function on $\mathbb{…
math.CV2025
The distance function and Lipschitz classes of mappings between metric spaces
Marijan Markovic
We investigate when the local Lipschitz property of the real-valued function implies the global Lipschitz property of the mapping between the metri…
math.CV2025
Lipschitz conditions on bounded harmonic functions on the upper half-space
Marijan Markovic
This work is devoted to Lipschitz conditions on bounded harmonic functions on the upper half-space in . Among other results we prove the following one. Let $U(x',x_n…