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math.AP2026
A Lavrentiev phenomenon in the neo-Hookean model
Marco Barchiesi, Duvan Henao, Carlos Mora-Corral +1
We exhibit a Lavrentiev gap phenomenon for the neo-Hookean energy in three-dimensional nonlinear elasticity. More precisely, we construct boundary data for which the infimum of the…
math.AP2025
Invertibility of Sobolev maps through approximate invertibility at the boundary and tangential polyconvexity
Carlos Mora-Corral, David Mur-Callizo
We work in a class of Sobolev maps, with , from a bounded open set to that do not exhibit cavitation and whose trace…