Ramon Oliver-Bonafoux

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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.AP2025

$Γ$ -convergence of the $p$ -Dirichlet energy for manifold-valued maps

Giacomo Canevari, Van Phu Cuong Le, Ramon Oliver-Bonafoux +1

We prove a $Γ$ -convergence result for the $p$ -Dirichlet energy functional defined on maps from a smooth bounded domain $Ω \subseteq R^{n + k}$ to $N$ , a $(k - 2)$ -con…

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…

Multiplicity of solutions for Gross-Pitaevskii equations on Riemannian manifolds

Γ-convergence of the p-Dirichlet energy for manifold-valued maps

Multiplicity results for mass constrained Allen-Cahn equations on Riemannian manifolds with boundary

$Γ$ -convergence of the $p$ -Dirichlet energy for manifold-valued maps