2 citations · 2 across the 3 of their papers we have counts for
6 papers
Contact manifolds, Lagrangian Grassmannians and PDEs
Olimjon Eshkobilov, Gianni Manno, Giovanni Moreno +1
In this paper we review a geometric approach to PDEs. We mainly focus on scalar PDEs in n independent variables and one dependent variable of order one and two, by insisting on the…
Geometry of the free-sliding Bernoulli beam
Giovanni Moreno, Monika Ewa Stypa
If a variational problem comes with no boundary conditions prescribed beforehand, and yet these arise as a consequence of the variation process itself, we speak of a free boundary…
Natural boundary conditions in geometric calculus of variations
Giovanni Moreno, Monika Ewa Stypa
In this paper we obtain natural boundary conditions for a large class of variational problems with free boundary values. In comparison with the already existing examples, our frame…
On Families in Differential Geometry
Giovanni Moreno
Families of objects appear in several contexts, like algebraic topology, theory of deformations, theoretical physics, etc. An unified coordinate-free algebraic framework for famili…
On the canonical connection for smooth envelopes
Giovanni Moreno
A notion known as smooth envelope, or superposition closure, appears naturally in several approaches to generalized smooth manifolds which were proposed in the last decades. Such a…
The geometry of the space of Cauchy data of nonlinear PDEs
G. Moreno
First-order jet bundles can be put at the foundations of the modern geometric approach to nonlinear PDEs, since higher-order jet bundles can be seen as constrained iterated jet bun…