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arXiv · 2309.08288

A new example for the Lavrentiev phenomenon in Nonlinear Elasticity

Stefano Almi·Stefan Krömer·Anastasia Molchanova
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Abstract

We present a new example for the Lavrentiev phenomenon in context of nonlinear elasticity, caused by an interplay of the elastic energy's resistance to infinite compression and the Ciarlet-Ne\v{c}as condition, a constraint preventing global interpenetration of matter on sets of full measure.

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Stefano Almi, Stefan Krömer, Anastasia Molchanova. 2023-09-15. A new example for the Lavrentiev phenomenon in Nonlinear Elasticity. https://arxiv.org/abs/2309.08288

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