Anna Canale

Cosmological solutions of a quadratic theory of gravity with torsion

Abstract Following the general approach of Hehl, and Hayashi and Shirafuji, we give the gravity equations for the lagrangian L =( e /2L 2 )(F+ 1 2 ×F 2 ) + L M . We have found the explicit Einstein-de Sitter solutions for a spinless dust. We have discussed in this case the singularity problem for the metric and for the torsion.

A priori bounds in weighted spaces

In unbounded domains we state some a priori bounds for solutions of the Dirichlet problem for linear second order elliptic differential equations in nondivergence form with discontinuous coefficients in weighted spaces. The weight function is related to the distance function from a fixed subset S of ∂Ω.

Schrodinger type operators with unbounded diffusion and potential terms

We prove that the realization

Weighted Hardy's inequalities and Kolmogorov-type operators

A_p

Weighted Hardy inequalities and Ornstein–Uhlenbeck type operators perturbed by multipolar inverse square potentials

in

Functions with derivatives in spaces of Morrey type and elliptic equations in unbounded domains

L^p(\mathbb{R}^N),\,1 2,\,\alpha >2

Differentiability for Bounded Minimizers of Some Anisotropic Integrals

and

Kernel Estimates for Schrödinger Type Operators with Unbounded Diffusion and Potential Terms

\beta >\alpha -2

Analitic approach to solve a degenerate parabolic PDE for the Heston model

. Moreover this semigroup is consistent, irreducible, immediately compact and ultracontractive.

Optimal kernel estimates for a Schr\"odinger type operator

ABSTRACT We give general conditions to state the weighted Hardy inequality with respect to a probability measure . Moreover, the optimality of the constant is given. The inequality is related to the following Kolmogorov equation perturbed by a singular potential for which the existence of positive solutions to the corresponding parabolic problem can be investigated. The hypotheses on allow the drift term to be of type with .