3 papers
math.AP2017
Results of Ambrosetti-Prodi type for non-selfadjoint elliptic operators
Boyan Sirakov, Carlos Tomei, André Zaccur
The well-known Ambrosetti-Prodi theorem considers perturbations of the Dirichlet Laplacian by a nonlinear function whose derivative jumps over the principal eigenvalue of the opera…
math.AP2015
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…
math.AP2015
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…