Zheng Zhu

collaborators

2 papers

math.FA2024

Weak limits of Sobolev homeomorphisms are one to one

Ondřej Bouchala, Stanislav Hencl, Zheng Zhu

We prove that the key property in models of Nonlinear Elasticity which corresponds to the non-interpenetration of matter, i.e. injectivity a.e., can be achieved in the class of wea…

math.FA2023

Weak Limit of $W^{1, 2}$ Homeomorphisms in $R^{3}$ Can Have Any Degree

Ondřej Bouchala, Stanislav Hencl, Zheng Zhu

In this paper for every $k \in Z$ we construct a sequence of weakly converging homeomorphisms $h_{m} : B (0, 10) \to R^{3}$ , $h_{m} ⇀ h$ in $W^{1,2}(B(0,10))…

Weak limits of Sobolev homeomorphisms are one to one

Weak Limit of W1,2 Homeomorphisms in R3 Can Have Any Degree

Weak Limit of $W^{1, 2}$ Homeomorphisms in $R^{3}$ Can Have Any Degree