C. Tomei

activity

19972023

most citedAn overview of domino and lozenge tilings

14 citations · 87 across the 38 of their papers we have counts for

collaborators

Showing 2001 · math.FAShow all

2 papers · 2 filters

math.FA2001

Results on infinite dimensional topology and applications to the structure of the critical set of nonlinear Sturm-Liouville operators

Dan Burghelea, Nicolau C. Saldanha, Carlos Tomei

We consider the nonlinear Sturm-Liouville differential operator $F (u) = - u^{''} + f (u)$ for $u \in H_{D}^{2} ([0, π])$ , a Sobolev space of functions satisfying Dirichlet boundary condition…

math.FA2001★ 7 cited

Critical sets of nonlinear Sturm-Liouville operators of Ambrosetti-Prodi type

H. Bueno, C. Tomei

The critical set C of the operator F:H^2_D([0,pi]) -> L^2([0,pi]) defined by F(u)=-u''+f(u) is studied. Here X:=H^2_D([0,pi]) stands for the set of functions that satisfy the Diric…