Injectivity almost everywhere andmappings with finite distortion in nonlinear elasticity

Injectivity almost everywhere andmappings with finite distortion in nonlinear elasticity Full article

Journal

Calculus of Variations and Partial Differential Equations
ISSN: 0944-2669 , E-ISSN: 1432-0835

Output data

Year: 2020, Volume: 59, Article number : 17, Pages count : 25 DOI: 10.1007/s00526-019-1671-4

Tags

30C65 · 46E35 · 74B20

Authors

Vodopyanov S.K. ^1,2 , Molchanova Anastasiya ^1,3

Affiliations

1	Sobolev Institute of Mathematics, Acad. Koptyug avenue 4, Novosibirsk, 630090, Russian Federation
2	University of Vienna, Oskar-Morgenstern-Platz 1, Wien, 1090, Austria
3	Novosibirsk State University, Pirogova Str. 1, Novosibirsk, 630090, Russian Federation

We show that a sufficient condition for the weak limit of a sequence of W1q-homeomorphisms with finite distortion to be almost everywhere injective for q ≥ n−1, can be stated by means of composition operators. Applying this result, we study nonlinear elasticity problems with respect to these new classes of mappings. Furthermore, we impose loose growth conditions on the stored-energy function for the class of W1n -homeomorphisms with finite distortion and integrable inner as well as outer distortion coefficients.

Vodopyanov S.K. , Molchanova A.
Injectivity almost everywhere andmappings with finite distortion in nonlinear elasticity
Calculus of Variations and Partial Differential Equations. 2020. V.59. 17 :1-25. DOI: 10.1007/s00526-019-1671-4 WOS Scopus OpenAlex

Published online:

Dec 4, 2019

Web of science:	WOS:000516541000001
Scopus:	2-s2.0-85076111097
OpenAlex:	W2991753915

DB	Citing
Scopus	25
OpenAlex	25
Web of science	20