Ramon Oliver-Bonafoux

collaborators

4 papers

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.FA2025

Nonlocal BV and nonlocal Sobolev spaces induced by nonfractional weight functions

Francesc Alcover, Joan Duran, Ramon Oliver-Bonafoux +1

In this paper, we expand upon the theory of the space of functions with nonlocal weighted bounded variation, first introduced by Kindermann et.al. in 2005 and later generalized by…

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

Nonlocal BV and nonlocal Sobolev spaces induced by nonfractional weight functions

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

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