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math.AP2023
A new example for the Lavrentiev phenomenon in Nonlinear Elasticity
Stefano Almi, Stefan Krömer, Anastasia Molchanova
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…
math.FA2023
Differentiability almost everywhere of weak limits of bi-Sobolev homeomorphisms
Anna Doležalová, Anastasia Molchanova
This paper investigates the differentiability of weak limits of bi-Sobolev homeomorphisms. Given , consider a sequence of homeomorphisms with positive Jacobians $J_{f_…