Ondřej Bouchala

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.CA2019

Injectivity almost everywhere for weak limits of Sobolev homeomorphisms

Ondřej Bouchala, Stanislav Hencl, Anastasia Molchanova

Let $Ω \subset R^{n}$ be an open set and let $f \in W^{1, p} (Ω, R^{n})$ be a weak (sequential) limit of Sobolev homeomorphisms. Then $f$ is injective almost everywhere for…