S. Hencl

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math.CV2026

Bounded Continuous weak quasiregular mappings that fail to be quasiregular

Stanislav Hencl, Yi Ru-Ya Zhang

We show that, in dimensions $n \geq 3$ , continuity and boundedness do not restore the Sobolev regularity conjecture of Iwaniec and Martin for weakly quasiregular mappings below the…

math.CV2024

Extension of planar HÃ¶lder homeomorphisms

Stanislav Hencl, Aleksis Koski

Let $I^\pm$ \in (0; 1). We show that any $I^\pm$ -HÃ¶lder homeomorphism from the unit circle in the plane to the plane can be extended to an $I^\pm$ -HÃ¶lder homeomorphism from the whole unit…