7 citations · 8 across the 12 of their papers we have counts for
3 papers · 2 filters
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…
Interior regularity of area minimizing currents within a -submanifold
Stefano Nardulli, Reinaldo Resende
Given an area-minimizing integral -current in , we prove that the Hausdorff dimension of the interior singular set of cannot exceed , provided that is an embedde…
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…