Gradient bounds and Liouville's type theorems for the Poisson equation on complete Riemannian manifolds

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概要

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• We prove a gradient estimate and Liouville type theorems for the solutions of the Poisson equation on a complete manifold whose Ricci curvature is suitably restricted.

• 東北大学の論文

著者

• Ratto Andrea

  Dipartimento Di Matematica Universita Della Calabria

• RIGOLI Marco

  Dipartimento di Matematica Universita di Milano

• Rigoli Marco

  Dipartimento di Matematica, Universita di Milano

関連論文

• Elliptic differential inequalities with applications to harmonic maps
• On the second variation of the identity map of a product manifold
• Gradient bounds and Liouville's type theorems for the Poisson equation on complete Riemannian manifolds
• On the L^2 form spectrum of the Laplacian on nonnegatively curvedmanifolds

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