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math.CV2026
A sharp stability inequality of Liouville's theorem for quasiregular mappings on bounded domains
Yi Ru-Ya Zhang
Let and fix . We establish a sharp quantitative stability result in for Liouville's theorem for nonconstant, sense-preserving quasiregular mappings whose o…
math.CV2018
Schoenflies solutions of conformal boundary values may fail to be Sobolev
Yi Ru-Ya Zhang
We show that there exists a planar Jordan domains with boundary of Hausdorff dimension such that, for any conformal maps , any homeomorphic extensi…