Francesco Solombrino

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math.AP2025

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…

math.AP2024

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^{1}$ to $S^{2}$ limit

Marco Cicalese, Dario Reggiani, Francesco Solombrino

We analyze the discrete-to-continuum limit of a frustrated ferromagnetic/anti-ferromagnetic $S^{2}$ -valued spin system on the lattice $I^»_{n} Z^{2}$ as $I^»_{n} \to 0$ . For…

math.AP2024

Giovanni Di Fratta, Francesco Solombrino

We present a concise point of view on the first and the second Korn's inequality for general exponent $p$ and for a class of domains that includes Lipschitz domains. Our argument i…

Relations between principal eigenvalue and torsional rigidity with Robin boundary conditions

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the S1 to S2 limit

Korn and PoincarÃ©-Korn inequalities: A different perspective

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^{1}$ to $S^{2}$ limit