C. Cacciapuoti

activity

20052026

most citedVariational properties and orbital stability of standing waves for NLS equation on a star graph

99 citations · 574 across the 36 of their papers we have counts for

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2 papers · 1 filter

math.SP2018★ 6 cited

On inverses of Krein's Q-functions

Claudio Cacciapuoti, Davide Fermi, Andrea Posilicano

Let $A_{Q}$ be the self-adjoint operator defined by the $Q$ -function $Q : z \mapsto Q_{z}$ through the Krein-like resolvent formula $$(-A_{Q}+z)^{-1}= (-A_{0}+z)^{-1}+G_{z}WQ_{z}^{-1}…

math.SP2016★ 14 cited

Self-adjoint indefinite Laplacians

Claudio Cacciapuoti, Konstantin Pankrashkin, Andrea Posilicano

Let $Ω_{-}$ and $Ω_{+}$ be two bounded smooth domains in $R^{n}$ , $n \geq 2$ , separated by a hypersurface $Σ$ . For $μ > 0$ , consider the function $h_{μ} = 1_{Ω_{-}} - μ 1_{Ω_{+}}$ . We discuss…