讲座内容：

It is well known that several variational functionals verify Brunn- Minkowski type inequalities, such as: Torsional rigidity; First Dirichlet eigenvalue of the Laplace; p-Capacity... And their solutions of the corresponding boundary value problem (PDE's+boundary conditions), satisfy specific concavity properties. In this talk, I will present my recent work about the first Dirichlet eigenvalue problem to the weighted p-Laplace operator in Florence. (a joint work with Andrea Colesanti and Paolo Salani).