5 citations · 9 across the 7 of their papers we have counts for
8 papers
A geometric lower bound for the clamped plate eigenvalue problem in low dimensions and extensions
Francesca Bianchi, Francesco Bozzola, Lorenzo Brasco
We show that the spectrum of the Dirichlet-biLaplacian can be quantitatively bounded from below in terms of the inradius only, for a general open set in dimensions and . For…
A geometrical approach to the sharp Hardy inequality in Sobolev-Slobodecki\uı spaces
Francesca Bianchi, Giorgio Stefani, Anna Chiara Zagati
We give a partial negative answer to a question left open in a previous work by Brasco and the first and third-named authors concerning the sharp constant in the fractional Hardy i…
On the spectrum of sets made of cores and tubes
Francesca Bianchi, Lorenzo Brasco, Roberto Ognibene
We analyze the spectral properties of a particular class of unbounded open sets. These are made of a central bounded ``core'', with finitely many unbounded tubes attached to it. We…
p-Adic sigma functions and heights on Jacobians of genus 2 curves
Francesca Bianchi
Let be a genus hyperelliptic curve over a number field , with a Weierstrass point at infinity, let be its Jacobian, let be the theta divisor with respec…
An optimal lower bound in fractional spectral geometry for planar sets with topological constraints
Francesca Bianchi, Lorenzo Brasco
We prove a lower bound on the first eigenvalue of the fractional Dirichlet-Laplacian of order on planar open sets, in terms of their inradius and topology. The result is optima…
Rational points on rank 2 genus 2 bielliptic curves in the LMFDB
Francesca Bianchi, Oana Padurariu
Building on work of Balakrishnan, Dogra, and of the first author, we provide some improvements to the explicit quadratic Chabauty method to compute rational points on genus bie…
On the sharp Hardy inequality in Sobolev-Slobodecki\uı spaces
Francesca Bianchi, Lorenzo Brasco, Anna Chiara Zagati
We study the sharp constant in the Hardy inequality for fractional Sobolev spaces defined on open subsets of the Euclidean space. We first list some properties of such a constant,…
A note on the supersolution method for Hardy's inequality
Francesca Bianchi, Lorenzo Brasco, Firoj Sk +1
We prove a characterization of Hardy's inequality in Sobolev-Slobodecki\uı spaces in terms of positive local weak supersolutions of the relevant Euler-Lagrange equation. This exten…