19 citations · 85 across the 35 of their papers we have counts for
5 papers · 2 filters
A general comparison theorem for -harmonic maps in homotopy class
Giona Veronelli
We prove a general comparison result for homotopic finite -energy -harmonic maps between Riemannian manifolds, assuming that is -parabolic and …
Remarks on -vanishing results in geometric analysis
Stefano Pigola, Giona Veronelli
We survey some -vanishing results for solutions of Bochner or Simons type equations with refined Kato inequalities, under spectral assumptions on the relevant Schrödinger op…
Stokes' theorem, volume growth and parabolicity
Daniele Valtorta, Giona Veronelli
We present some new Stokes' type theorems on complete non-compact manifolds that extend, in different directions, previous work by Gaffney and Karp and also the so called Kelvin-Ne…
An alternative proof of a rigidity theorem for the sharp Sobolev constant
Stefano Pigola, Giona Veronelli
We provide a somewhat geometric proof of a rigidity theorem by M. Ledoux and C. Xia concerning complete manifolds with non-negative Ricci curvature supporting an Euclidean-type Sob…
Myers' type theorems and some related oscillation results
Paolo Mastrolia, Michele Rimoldi, Giona Veronelli
In this paper we study the behavior of solutions of a second order differential equation. The existence of a zero and its localization allow us to get some compactness results. In…