01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
, ,
Keywords:
calculus of variations,
Sobolev space,
nonlinear elasticity.
Subject:
quasiconformal analysis, nonlinear elasticity
Main publications:
S.K. Vodopyanov, A.O. Molchanova, “Stokes theorem for differential forms of an arbitrary summability”, Bulletin of Kemerovo State University, 3-1 (2011), 239–243
S.K. Vodopyanov, A.O. Molchanova, “Variational problems of nonlinear elasticity in certain classes of mappings with finite distortion”, Doklady Mathematics, 92:3 (2015), 739–742
S.K. Vodopyanov, A.O. Molchanova, “Lower semicontinuity of mappings with bounded (θ, 1)-weighted (p,q)-distortion”, Siberian Mathematical Journal, 57:5 (2016), 778–787
S. K. Vodopyanov, A. O. Molchanova, “The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms”, Izv. RAN. Ser. Mat., 87:4 (2023), 47–90; Izv. Math., 87:4 (2023), 683–725
L. Kleprlík, A. O. Molchanova, T. Roskovec, “Example of a smooth homeomorphism violating the Luzin $N^{-1}$ property”, Sibirsk. Mat. Zh., 60:5 (2019), 1133–1144; Siberian Math. J., 60:5 (2019), 886–895
S. K. Vodop'yanov, A. O. Molchanova, “Lower semicontinuity of mappings with bounded $(\theta,1)$-weighted $(p,q)$-distortion”, Sibirsk. Mat. Zh., 57:5 (2016), 999–1011; Siberian Math. J., 57:5 (2016), 778–787
A. O. Molchanova, “A variational approximation scheme for the elastodynamic problems in the new class of admissible mappings”, Sib. J. Pure and Appl. Math., 16:3 (2016), 55–60
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