3 citations · 5 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Global models of collapsing scalar field: endstate
Dario Corona, Roberto Giambò
The study of dynamic singularity formation in spacetime, focusing on scalar field collapse models, is analysed. We revisit key findings regarding open spatial topologies, concentra…
Motion of test particles in quasi anti-de Sitter regular black holes
Dario Corona, Roberto Giambò, Orlando Luongo
We explore the characteristics of two novel regular spacetimes that exhibit a non-zero vacuum energy term, under the form of a (quasi) anti-de Sitter phase. Specifically, the first…
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…
Lusternik-Schnirelman and Morse theory for the Van der Waals-Cahn-Hilliard equation with volume constraint
Vieri Benci, Dario Corona, Stefano Nardulli +2
We give a multiplicity result for solutions of the Van der Waals-Cahn-Hilliard two-phase transition equation with volume constraints on a closed Riemannian manifold. Our proof empl…