Canonical forms for -structures in pseudo-riemannian manifolds
Characterizations of the nonlinear connection in the higher order geometry.
Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations
In this paper we prove a comparison result between semicontinuous viscosity subsolutions and supersolutions to Hamilton-Jacobi equations of the form in where the Hamiltonian H may be noncoercive in the gradient Du. As a consequence of the comparison result and the Perron's method we get the existence of a continuous solution of this equation.
Conservation Criteria, Canonical Transformations, and Integral Invariants in the Field Theory of Carathéodory for Multiple Integral Variational Problems. (Short Communication).
Conservation criteria, canonical transformations, and integral invariants in the field theory of Carathéodory for multiple integral variational problems.
Convergenza per l'equazione degli integrali primi associata al problema del rimbalzo
In this paper we present a few results on convergence for the prime integrals equations connected with the bounce problem. This approach allows both to prove uniqueness for the one-dimensional bounce problem for almost all permissible Cauchy data (see also [6]) and to deepen previous results (see [3], [5], [7]).