7 papers · 1 filter
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 objec…
Optimization problems for elliptic PDEs
Giuseppe Buttazzo, Juan Casado-DÃaz, 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…
Optimal coefficients for elliptic PDEs
Giuseppe Buttazzo, Juan Casado-DÃaz, 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…
Optimal domains for the Cheeger inequality
Dorin Bucur, Giuseppe Buttazzo, Alexis de Villeroché
In this paper we consider the scale invariant shape functional where and (respect…
Optimal sources for elliptic PDEs
Giuseppe Buttazzo, Juan Casado-DÃaz, Faustino Maestre
We investigate optimal control problems governed by the elliptic partial differential equation subject to Dirichlet boundary conditions on a given domain . The control…