7 citations · 37 across the 24 of their papers we have counts for
5 papers · 1 filter
Characterizations of generalized John domains in via metric duality
Pawel Goldstein, Zofia Grochulska, Chang-Yu Guo +2
In this paper, we extend the characterization of John disks obtained by Näkki and Väisälä [Exp. Math. 1991] to generalized John domains in higher dimensions under mild assumptions.…
Regularity of quasi-n-harmonic mappings into NPC spaces
Chang-Yu Guo, Chang-Lin Xiang
We prove local Holder continuity of quasi-n-harmonic mappings from Euclidean domains into metric spaces with non-positive curvature in the sense of Alexandrov. We also obtain globa…
Harmonic mappings between singular metric spaces
Chang-Yu Guo
In this paper, we survey the existence, uniqueness and interior regularity of solutions to the Dirichlet problem of Korevaar and Schoen in the setting of mappings between singular…
The theory of quasiregular mappings in metric spaces: progress and challenges
Chang-Yu Guo
We survey the recent developments in the theory of quasireg- ular mappings in metric spaces. In particular, we study the geometric porosity of the branch set of quasiregular mappin…
Area minimizing discs in locally non-compact metric spaces
Chang-Yu Guo, Stefan Wenger
We solve the classical problem of Plateau in every metric space which is -complemented in an ultra-completion of itself. This includes all proper metric spaces as well as many l…