154 citations · 309 across the 60 of their papers we have counts for
75 papers
Shape optimization with inradius constraint and emergence of honeycomb structures
Dorin Bucur, Giuseppe Buttazzo, Alexis de Villeroché
We maximize the average torsional rigidity among open subsets of with fixed inradius whose complements consist of pairwise disjoint balls of fixed radius $\varepsilo…
On the relations between fundamental frequency and torsional rigidity in the case of anisotropic energies
Giuseppe Buttazzo, Raul Fernandes Horta
We consider variational energies of the form \[E_H(u)=\frac12\int_ΩH^2(\nabla u)\,dx\] defined on the Sobolev space , where is a general seminorm. Our primary objecti…
Optimization problems for elliptic PDEs
Giuseppe Buttazzo, Juan Casado-Díaz, Faustino Maestre
In this paper we consider some optimal control problems governed by elliptic partial differential equations. The solution is the state variable, while the control variable is, depe…
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…
Optimal coefficients for elliptic PDEs
Giuseppe Buttazzo, Juan Casado-Díaz, Faustino Maestre
We consider an optimization problem related to elliptic PDEs of the form with Dirichlet boundary condition on a given domain . The coefficient $a(x)…
The problem of minimal resistance, old and new
Giuseppe Buttazzo
Since its original formulation by Isaac Newton in 1685, the problem of determining bodies of minimal resistance moving through a fluid has been one of the classical problems in the…