Advertisement

General nonexistence results

  • Paolo Mastrolia
  • Marco Rigoli
  • Alberto G. Setti
Chapter
  • 645 Downloads
Part of the Progress in Mathematics book series (PM, volume 302)

Abstract

The aim of this chapter is to prove a number of very general nonexistence results for Yamabe-type inequalities of the form
$$ \Delta u + a(x)u-b(x)u^{\sigma} \geq 0 $$
on complete, noncompact, Riemannian manifolds.

Keywords

Poisson Equation Ricci Curvature Nonnegative Solution Divergence Theorem Complete Riemannian Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Basel 2012

Authors and Affiliations

  • Paolo Mastrolia
    • 1
  • Marco Rigoli
    • 1
  • Alberto G. Setti
    • 2
  1. 1.Dipartimento di MatematicaUniversità degli Studi die MilanoMilanoItaly
  2. 2.Dipartimento di Fisica e MatematicaUniversità dell’InsubriaComoItaly

Personalised recommendations