Showing math.APShow all
3 papers · 1 filter
math.AP2025
Multiplicity of solutions for Gross-Pitaevskii equations on Riemannian manifolds
Dario Corona, Stefano Nardulli, Ramon Oliver-Bonafoux +1
We provide a multiplicity result for solutions of time-independent Gross-Pitaevskii equations on closed Riemannian manifolds. Such solutions arise as (possibly non-minimizing) crit…
math.AP2024
From bubbles to clusters: Multiple solutions to the Allen--Cahn system
João Henrique de Andrade, Dario Corona, Stefano Nardulli +2
We extend previous works on the multiplicity of solutions to the Allen-Cahn system on closed Riemannian manifolds by considering an arbitrary number of phases. Specifically, we sho…
math.AP2024
A note on the regularity and the existence of Riemannian splines
Dario Corona, Roberto Giambò, Paolo Piccione
In this paper, we present a comprehensive proof concerning the regularity of critical points for the spline energy functional on Riemannian manifolds, even for the general higher-o…