C. Tomei

activity

19972007

most citedThe geometry of the critical set of nonlinear periodic Sturm-Liouville operators

10 citations · 21 across the 5 of their papers we have counts for

collaborators

Showing 2007Show all

2 papers · 1 filter

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 $F (u) = u^{'} + f (t, u (t))$ acting on periodic real valued functions. Generically, critical points of $F$ 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…