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4 papers · 1 filter
Sobolev regularity of the inverse for minimizers of the neo-Hookean energy satisfying condition INV
Panas Kalayanamit
We study the existence and regularity of minimizers of the neo-Hookean energy in the closure of classes of deformations without cavitation. The exclusion of cavitation is imposed i…
A relaxation approach to the minimisation of the neo-Hookean energy in 3D
Marco Barchiesi, Duvan Henao, Carlos Mora-Corral +1
Despite its high significance in nonlinear elasticity, the neo-Hookean energy is still not known to admit minimisers in some appropriate admissible class. Using ideas from relaxati…
Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities
Jean Dolbeault, Andres Zuniga
On the Euclidean space, we establish some Weighted Logarithmic Sobolev (WLS) inequalities. We characterize a symmetry range in which optimal functions are radially symmetric, and a…
Weak and strong connectivity regimes for a general time elapsed neuron network model
Stéphane Mischler, Cristobal Quiñinao, Qilong Weng
For large fully connected neuron networks, we study the dynamics of homogenous assemblies of interacting neurons described by time elapsed models. Under general assumptions on the…