Topological Methods in Calculus of Variations: We have studied a geodesic problem in a Riemannian manifold with conical singularities. We have used topological methods like Lusternik-Schnirelmann category and Morse Theory. To obtain our result we have considered the Nonsmooth tools as the weak slope, introduced by M. Degiovanni e M. Marzocchi

Non Standard Analysis Applied to Stochastic Equations:  (joint work with S. Galatolo e V. Benci):We have studied some equation involving white noise by means of non standard analysis. This approach is very intuitive and simplifies much the treatment of the subject.

Solutions of Stationary Schroedinger Equation: (joint work with A.M. Micheletti) We looked for antisymmetric solutions of stationary Schroedinger equation, with some hypothesis on the symmetry of potential. We achieve some existence and non existence result respectively for positive or negative potentials.

Properties of Periodic Orbits for a One-dimensional Problem: (joint work with J. Bellazzini e V. Benci) We studied some "perturbed pendulum", one-dimentional, differential equations, and we have described the solution by means of Morse index and Twisting Number. We have found some result on the number and the qualitative properties of the periodic solutions of these problems.