8 papers
Simons formulas in complex space forms and product spaces
Dorel Fetcu, Stefano Nardulli
We compute Simons type equations for parallel mean curvature submanifolds in complex space forms N^n(c), with constant holomorphic sectional curvature c, and product spaces N^n(c)x…
Allard's interior -Regularity Theorem in Alexandrov spaces
Marcos Agnoletto, Julio C. Correa Hoyos, Márcio Fabiano da Silva +1
In this paper, we prove Allard's Interior -Regularity Theorem for -dimensional varifolds with generalized mean curvature in , , in non-collapsed A…
Survey on topological methods for Allen--Cahn equations and systems
João Henrique Andrade, Stefano Nardulli, Raonà Ponciano
We present a survey on multiplicity results for the Allen--Cahn equation and systems in the singular perturbation regime, emphasizing their geometric interpretation through -co…
Positive mass and isoperimetry for continuous metrics with nonnegative scalar curvature
Gioacchino Antonelli, Mattia Fogagnolo, Stefano Nardulli +1
This paper deals with quasi-local isoperimetric versions of the positive mass theorem on -manifolds endowed with continuous complete metrics having nonnegative scalar curvature…
Sharp Sobolev inequalities on noncompact Riemannian manifolds with bounded Ricci curvature
Carlo Morpurgo, Stefano Nardulli, Liuyu Qin
Given a smooth, complete Riemannian manifold with bounded Ricci curvature and positive injectivity radius, we derive a sharp Sobolev inequality for the embedding of $W^{1,p}(M)…
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…