7 papers
Equilibria of charged hyperelastic solids
Elisa Davoli, Anastasia Molchanova, Ulisse Stefanelli
We investigate equilibria of charged deformable materials via the minimization of an electroelastic energy. This features the coupling of elastic response and electrostatics by mea…
An extended variational theory for nonlinear evolution equations via modular spaces
Alexander Menovschikov, Anastasia Molchanova, Luca Scarpa
We propose an extension of the classical variational theory of evolution equations that accounts for dynamics also in possibly non-reflexive and non-separable spaces. The pivoting…
On grand Sobolev spaces and pointwise description of Banach function spaces
Pankaj Jain, Anastasia Molchanova, Monika Singh +1
We obtain a pointwise description of functions belonging to function spaces with the lattice property. In particular, it is valid for Banach function spaces provided that the Hardy…
Injectivity almost everywhere for weak limits of Sobolev homeomorphisms
Ondřej Bouchala, Stanislav Hencl, Anastasia Molchanova
Let be an open set and let be a weak (sequential) limit of Sobolev homeomorphisms. Then is injective almost everywhere for…
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…
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 belonging , where is an arbitrary Banach function space. Namely, we prove tha…