47 citations · 170 across the 30 of their papers we have counts for
32 papers
A proof of the Cartan-Hadamard conjecture for small volumes under a Ricci curvature lower bound
Marcos Agnoletto, Márcio Fabiano Da Silva, Stefano Nardulli +1
We prove the generalized Cartan-Hadamard conjecture, also known as the Aubin conjecture, in the small volume regime under a lower Ricci curvature bound, for any dimension …
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…
Survey on topological methods for Allen--Cahn equations and systems
João Henrique Andrade, Stefano Nardulli, Raoní 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 -con…
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…
Connectedness properties of small minimal clusters in Riemannian or Finsler manifolds
Stefano Nardulli, Aldo Pratelli
We prove that in a compact Riemannian manifold, the -minimal clusters of sufficiently small total volume are connected and with small diameter, while in a more general Finsler m…