Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

G. Catino - D. D. Monticelli - F. Punzo

The Poisson equation on manifolds with positive essential spectrum

created by catino on 27 Mar 2018
modified on 12 Oct 2018


Submitted Paper

Inserted: 27 mar 2018
Last Updated: 12 oct 2018

Year: 2018


We show existence of solutions to the Poisson equation on Riemannian manifolds with positive essential spectrum, assuming a sharp pointwise decay on the source function. We do not require any assumptions on the curvature. In particular we can allow the Ricci curvature to be unbounded from below.


Credits | Cookie policy | HTML 5 | CSS 2.1