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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…
math.AP2024
Multiplicity results for mass constrained Allen-Cahn equations on Riemannian manifolds with boundary
Dario Corona, Stefano Nardulli, Ramon Oliver-Bonafoux +2
We present multiplicity results for mass constrained Allen-Cahn equations on a Riemannian manifold with boundary, considering both Neumann and Dirichlet conditions. These results h…