Anna Doležalová

activity

20192025

most citedWeak limit of homeomorphisms in

W^{1, n - 1}

and (INV) condition

14 citations · 19 across the 8 of their papers we have counts for

collaborators

8 papers

math.AP2025

Mission $p < n - 1$ : Possible -- Nonlinear Elasticity Beyond Conventional Limits

Daniel Campbell, Anna Doležalová, Stanislav Hencl

In this paper we prove the lower semicontinuity of a Neohookean-type energy for a model of Nonlinear Elasticity that allows, for the first time, for $p < n - 1$ . Our class of admissibl…

math.FA2024

$(I N V)$ condition and regularity of the inverse

Anna Doležalová, Stanislav Hencl, Jani Onninen

Let $f : Ω \to Ω^{'}$ be a Sobolev mapping of finite distortion between planar domains $Ω$ and $Ω^{'}$ , satisfying the $(I N V)$ condition and coinciding with a homeomorphism near $\p…

math.FA2023

Differentiability almost everywhere of weak limits of bi-Sobolev homeomorphisms

Anna Doležalová, Anastasia Molchanova

This paper investigates the differentiability of weak limits of bi-Sobolev homeomorphisms. Given $p > n - 1$ , consider a sequence of homeomorphisms $f_{k}$ with positive Jacobians $J_{f_…

math.FA2022★ 4 cited

Weak limit of homeomorphisms in $W^{1, n - 1}$ : invertibility and lower semicontinuity of energy

Anna Doležalová, Stanislav Hencl, Anastasia Molchanova

Let $Ω$ , $Ω^{'} \subset R^{n}$ be bounded domains and let $f_{m} : Ω \to Ω^{'}$ be a sequence of homeomorphisms with positive Jacobians $J_{f_{m}} > 0$ a.e. and prescribed Dirichlet bou…

math.AP2022★ 1 cited

Mappings of generalized finite distortion and continuity

Anna Doležalová, Ilmari Kangasniemi, Jani Onninen

We study continuity properties of Sobolev mappings $f \in W_{loc}^{1, n} (Ω, R^{n})$ , $n \geq 2$ , that satisfy the following generalized finite distortion inequality…

math.FA2021★ 14 cited

Weak limit of homeomorphisms in $W^{1, n - 1}$ and (INV) condition

Anna Doležalová, Stanislav Hencl, Jan Malý

Let $Ω, Ω^{'} \subset R^{3}$ be Lipschitz domains, let $f_{m} : Ω \to Ω^{'}$ be a sequence of homeomorphisms with prescribed Dirichlet boundary condition and $\sup_m \int_Ω(|Df_m|^2+1/J^2_…

math.FA2020

Hausdorff measure of critical set for Luzin $N$ condition

Anna Doležalová, Marika Hrubešová, Tomáš Roskovec

It is well-known that there is a Sobolev homeomorphism $f \in W^{1, p} ([- 1, 1]^{n}, [- 1, 1]^{n})$ for any $p < n$ which maps a set $C$ of zero Lebesgue $n$ -dimensional measure onto the set of…

math.FA2019

On the volume of unit balls of finite-dimensional Lorentz spaces

Anna Doležalová, Jan Vybíral

We study the volume of unit balls $B_{p, q}^{n}$ of finite-dimensional Lorentz sequence spaces $ℓ_{p, q}^{n} .$ We give an iterative formula for $vol (B_{p, q}^{n})$ for the weak Leb…

Mission p<n−1: Possible -- Nonlinear Elasticity Beyond Conventional Limits

(INV) condition and regularity of the inverse