49 citations · 216 across the 41 of their papers we have counts for
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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…
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 for , a Sobolev space of functions satisfying Dirichlet boundary condition…