Calculus of Variations and Geometric Measure Theory
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G. Scilla - B. Stroffolini

Invertibility of Orlicz-Sobolev maps

created by scilla on 08 Apr 2022

[BibTeX]

Accepted Paper

Inserted: 8 apr 2022
Last Updated: 8 apr 2022

Journal: AWM Volume - Research in Mathematics of Materials Science
Year: 2022

Abstract:

We extend the global invertibility result by Henao, Mora-Corral and Oliva (2021) to a class of orientation preserving Orlicz-Sobolev maps with an integrability just above $n-1$, whose traces on the boundary are also Orlicz-Sobolev and which do not present cavitation in the interior or at the boundary. As an application, we prove the existence of a.e. injective minimizers within this class for functionals in nonlinear elasticity.


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