Yizhe Zhu

collaborators

3 papers

math.CV2026

Homeomorphic Extensions in Bi-Orlicz-Sobolev Spaces

Yizhe Zhu

We provide a complete characterization of those self-homeomorphisms of the unit circle that admit homeomorphic extensions to the unit disk belonging to bi--Orlicz--Sobolev spaces.…

math.FA2025

Global Integrability of the Reciprocal of Jacobians for Homeomorphisms of Finite Distortion

Anna DoleÅ¾alovÃ¡, Jani Onninen, Yizhe Zhu +1

For a homeomorphism with $p$ -integrable distortion, we obtain the optimal global degree of integrability for the reciprocal of its Jacobian determinant. As an application, we stren…

math.FA2025

Uniqueness of diffeomorphic minimizers of $L^{p}$ -mean distortion

Yizhe Zhu

We study the $L^{p}$ -mean distortion functionals, \[{\cal E}_p[f] = \int_\mathbb Y K^p_f(z) \; dz, \] for Sobolev homeomorphisms $f: \overline{\mathbb Y}\xrightarrow{\rm onto} \overl…

Homeomorphic Extensions in Bi-Orlicz-Sobolev Spaces

Global Integrability of the Reciprocal of Jacobians for Homeomorphisms of Finite Distortion

Uniqueness of diffeomorphic minimizers of Lp-mean distortion

Uniqueness of diffeomorphic minimizers of $L^{p}$ -mean distortion