A. Molchanova

activity

20152026

most citedInjectivity almost everywhere and mappings with finite distortion in nonlinear elasticity

9 citations · 27 across the 12 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

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…

math.FA2019

A note on the continuity of minors in grand Lebesgue spaces

Anastasia Molchanova

We present a simple proof of the continuity, in the sense distributions, of the minors of the differential matrices of mappings belonging to grand Sobolev spaces. Such function spa…

math.FA2019

Regularity of the inverse mapping in Banach function spaces

Anastasia Molchanova, Tomáš Roskovec, Filip Soudský

We study the regularity properties of the inverse of a bilipschitz mapping $f$ belonging $W^{m} X_{loc}$ , where $X$ is an arbitrary Banach function space. Namely, we prove tha…