Anastasia Molchanova
I am currently a
REWIRE postdoc in the
Research Group on Applied Mathematics and Modeling,
at the Faculty of Mathematics of the University of Vienna.
Recently, my FWF Elise Richter project
“Global and Local Behavior of Deformations”
has been approved for funding.
Download CV .
My research is primarily concerned with analysis — especially functional and quasiconformal analysis, as well as with calculus of variations and its application in materials science.
I am also interested in geometric measure theory, control theory, sub-Riemannian geometry, and PDEs. After completing my Ph.D.-thesis on quasiconformal analysis, I am carrying out my research at the interface between these fields and binding them up together.
Besides research, I am a member of the Austrian Association of Women in Mathematics (A²WiM).
You can meet me at
Vienna Geometric Analysis Seminar, University of Vienna;
Variational Models in Materials Science, II, Naples, Italy, February 21-23, 2024;
International Conference on Elliptic and Parabolic Problems: GAETA 2024, Gaeta, Italy, May 20-24, 2024;
Geometric And Variational Analysis, Będlewo, Poland, June 9-15, 2024.
Publications
- A. Doležalová, S. Hencl, and A. Molchanova, Weak limit of homeomorphisms in W1,n−1: invertibility and lower semicontinuity of energy, Preprint arXiv, 2022.
- A. Doležalová and A. Molchanova, Differentiability almost everywhere of weak limits of bi-Sobolev homeomorphisms, Pure and Applied Functional Analysis, to appear.
- S. Almi, S. Krömer, and A. Molchanova. A new example for the Lavrentiev phenomenon in Nonlinear Elasticity, Zeitschrift für Angewandte Mathematik und Physik, 75, 2 (2024).
- S. K. Vodopyanov, A. O. Molchanova. The boundary behavior of Qq,p-homeomorphisms, Izvestiya: Mathematics 87:4 (2023), 683-725.
- E. Davoli, A. Molchanova, and U. Stefanelli, Equilibria of charged hyperelastic solids, SIAM J. Math. Anal. (SIMA) 54:2 (2022), 1470-1487.
- A. Molchanova, T. Roskovec, and F. Soudský, Regularity of the inverse mapping in Banach function spaces, Math. Nachr. 294:12 (2021), 2382-2395.
- A. Menovschikov, A. Molchanova, L. Scarpa, An extended variational theory for nonlinear evolution equations via modular spaces, SIAM J. Math. Anal. (SIMA), 53:4 (2021), 4865-4907.
- P. Jain, A. Molchanova, M. Singh, and S. Vodopyanov, On grand Sobolev spaces and pointwise description of Banach function spaces, Nonlinear Anal., 202 (2021).
- O. Bouchala, S. Hencl, and A. Molchanova, Injectivity almost everywhere for weak limits of Sobolev homeomorphisms, J. Funct. Anal., 279:7 (2020).
- A. O. Molchanova and S. K. Vodopyanov, Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity, Calc. Var. Partial Differential Equations, 59:17 (2020).
- L. Kleprlík, A. O. Molchanova, and T. Roskovec, Example of a smooth homeomorphism violating the Lusin N−1 condition, Sib. Math. J., 60:5 (2019), 886-895.
- A. Molchanova, A note on continuity of minors in grand Lebesgue spaces, J. Fixed Point Theory Appl., 21:49 (2019).
- F. Soudský, A. Molchanova, and T. Roskovec, Interpolation between Hölder and Lebesgue spaces, J. Math. Anal. Appl., 466:1 (2018), 160-168.
- S. K. Vodop'yanov and A. O. Molchanova, Lower semicontinuity of mappings with bounded (θ, 1)-weighted (p, q)-distortion, Sib. Math. J., 57:5 (2016), 778–787 (Rus.).
Third-party funds
- FWF Elise Richter grant with a project “Global and Local Behavior of Deformations”, 404K €, 4 years, 2023-2027.
- Grant for the organization of the ESI (Erwin Schrödinger Institute) Workshop "Between Regularity and Defects: Variational and Geometrical Methods in Materials Science" (organizers: Stefano Almi and Anastasia Molchanova), 16K €, February 20-24, 2023.
- REWIRE grant (Maria Skłodowska-Curie Actions COFUND) with a project "Injectivity, Regularity, and Extensibility of Deformations" (mentor: Ulisse Stefanelli), 266K €, 3 years, 2021-2024.
- FWF Lise Meitner grant with a project “Mappings of finite distortion for Nonlinear Solid Mechanics” (mentor: Elisa Davoli), 159K €, 2 years, 2019-2021.