14 citations · 87 across the 38 of their papers we have counts for
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math.CA2007
Morin singularities and global geometry in a class of ordinary differential operators
Iaci Malta, Nicolau C. Saldanha, Carlos Tomei
We consider the operator acting on periodic real valued functions. Generically, critical points of are infinite dimensional Morin-like singularities and…
math.FA2007★ 10 cited
The geometry of the critical set of nonlinear periodic Sturm-Liouville operators
Dan Burghelea, Nicolau C. Saldanha, Carlos Tomei
We study the critical set C of the nonlinear differential operator F(u) = -u" + f(u) defined on a Sobolev space of periodic functions H^p(S^1), p >= 1. Let R^2_{xy} \subset R^3 be…