5 citations · 8 across the 6 of their papers we have counts for
8 papers
Relations between principal eigenvalue and torsional rigidity with Robin boundary conditions
Giuseppe Buttazzo, Simone Cito, Francesco Solombrino
We consider the torsional rigidity and the principal eigenvalue related to the Laplace operator with Dirichlet and Robin boundary conditions. The goal is to find upper and lower bo…
From discrete to continuum in the helical XY-model: emergence of chirality transitions in the to limit
Marco Cicalese, Dario Reggiani, Francesco Solombrino
We analyze the discrete-to-continuum limit of a frustrated ferromagnetic/anti-ferromagnetic -valued spin system on the lattice as . For $\…
Korn and Poincaré-Korn inequalities: A different perspective
Giovanni Di Fratta, Francesco Solombrino
We present a concise point of view on the first and the second Korn's inequality for general exponent and for a class of domains that includes Lipschitz domains. Our argument i…
Hemihelical local minimizers in prestrained elastic bi-strips
M. Cicalese, M. Ruf, F. Solombrino
We consider a double layered prestrained elastic rod in the limit of vanishing cross section. For the resulting limit Kirchoff-rod model with intrinsic curvature we prove a supercr…
On global and local minimizers of prestrained thin elastic rods
Marco Cicalese, Matthias Ruf, Francesco Solombrino
We study the stable configurations of a thin three-dimensional weakly prestrained rod subject to a terminal load as the thickness of the section vanishes. By -convergence we der…
Chirality transitions in frustrated -valued spin systems
Marco Cicalese, Matthias Ruf, Francesco Solombrino
We study the discrete-to-continuum limit of the helical XY -spin system on the lattice . We scale the interaction parameters in order to reduce the model to…
Frustrated ferromagnetic spin chains: a variational approach to chirality transitions
Marco Cicalese, Francesco Solombrino
We study the energy per particle of a one-dimensional ferromagnetic/anti-ferromagnetic frustrated spin chain with nearest and next-to-nearest interactions close to the helimagnet/f…
Q-tensor continuum energies as limits of head-to-tail-symmetric spin systems
Andrea Braides, Marco Cicalese, Francesco Solombrino
We consider a class of spin-type discrete systems and analyze their continuum limit as the lattice spacing goes to zero. Under standard coerciveness and growth assumptions together…