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The Poisson equation on manifolds with positive essential spectrum

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 Added by Giovanni Catino
 Publication date 2018
  fields
and research's language is English




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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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