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Bibliography

Journal Article

A new example for the Lavrentiev phenomenon in Nonlinear Elasticity

Almi S., Krömer Stefan, Molchanova A.

: Zeitschrift für angewandte Mathematik und Physik vol.75,

: 8J23AT008, GA MŠk, GF21-06569K, GA ČR

: Nonlinear elasticity, Local injectivity, Global injectivity, Ciarlet–Nečas condition, Lavrentiev phenomenon, Approximation

: 10.1007/s00033-023-02132-4

: http://library.utia.cas.cz/separaty/2024/MTR/kromer-0579648.pdf

: https://link.springer.com/article/10.1007/s00033-023-02132-4

(eng): 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–Nečas condition, a constraint preventing global interpenetration of matter on sets of full measure.

: BA

: 10102