Published Paper

Inserted: 27 mar 2018
Last Updated: 28 aug 2019

Journal: Calc. Var. Partial Differential Equations
Volume: 58
Number: 4
Pages: 146
Year: 2019

Abstract:

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. In particular we can allow the Ricci curvature to be unbounded from below. In comparison with previous works, we can deal with a more general setting both on the spectrum and on the curvature bounds.

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• PoissonFinal7giu2019.pdf