We extend the global invertibility result (Henao et al., Adv Calculus Var 14(2):207–230, 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.
Invertibility of Orlicz–Sobolev maps / Scilla, G.; Stroffolini, B.. - (2022), pp. 297-317. [10.1007/978-3-031-04496-0_13].
Invertibility of Orlicz–Sobolev maps
Scilla G.;
2022
Abstract
We extend the global invertibility result (Henao et al., Adv Calculus Var 14(2):207–230, 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.File allegati a questo prodotto
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