5 papers · 1 filter
Global Integrability of the Reciprocal of Jacobians for Homeomorphisms of Finite Distortion
Anna Doležalová, Jani Onninen, Yizhe Zhu +1
For a homeomorphism with -integrable distortion, we obtain the optimal global degree of integrability for the reciprocal of its Jacobian determinant. As an application, we stren…
Sobolev Versus Homogeneous Sobolev II
Pekka Koskela, Riddhi Mishra, Zheng Zhu
We study the relationship between Sobolev extension domains and homogeneous Sobolev extension domains. Precisely, for a certain range of exponents and , we construct a $(W^{…
Sobolev Versus Homogeneous Sobolev Extension
Pekka Koskela, Riddhi Mishra, Zheng Zhu
In this paper, we study the relationship between Sobolev extension domains and homogeneous Sobolev extension domains. Precisely, we obtain the following results. 1- Let $1\leq q\le…
Local Sobolev-Poincare imbedding domains
Tian Liang, Zheng Zhu
In this article, we study local Sobolev-Poincaré imbedding domains. The main result reads as below. \begin{enumerate} \item for , a bounded uniform domain is also a…
Sobolev extensions over Cantor-cuspidal graphs
Pekka Koskela, Zheng Zhu
For a continuous function , define the corresponding graph by setting \[Γ_f := {(x1, f(x1)) : x_1\in\mathbb{R}} .\] In this paper, we study the Sobolev e…