14 citations · 87 across the 38 of their papers we have counts for
4 papers · 1 filter
The Toda lattice, old and new
Carlos Tomei
Originally a model for wave propagation on the line, the Toda lattice is a wonderful case study in mechanics and symplectic geometry. In Flaschka's variables, it becomes an evoluti…
Abundance of cusps and a converse to the Ambrosetti-Prodi theorem
Marta Calanchi, Carlos Tomei, André Zaccur
According to the Ambrosetti-Prodi theorem, the map between appropriate functional spaces is a global fold. Among the hypotheses, the convexity of the function $…
Fibers and global geometry of functions
Marta Calanchi, Carlos Tomei, Andre Zaccur
Since the seminal work of Ambrosetti and Prodi, the study of global folds was enriched by geometric concepts and extensions accomodating new examples. We present the advantages of…
Geometric Aspects of Ambrosetti-Prodi operators with Lipschitz nonlinearities
Carlos Tomei, André Zaccur
For Dirichlet boundary conditions on a bounded domain, what happens to the critical set of the Ambrosetti-Prodi operator if the nonlinearity is only a Lipschitz map? It turns out t…