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 considering fibers, a construction dating to Berger and Podolak’s view of the original theorem. A description of folds in terms of properties of fibers gives new perspective to the usual hypotheses in the subject. The text is intended as a guide, outlining arguments and stating results which will be detailed elsewhere.
CITATION STYLE
Calanchi, M., Tomei, C., & Zaccur, A. (2017). Fibers and global geometry of functions. Progress in Nonlinear Differential Equations and Their Application, 86, 55–75. https://doi.org/10.1007/978-3-319-19902-3_5
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