Maximum principle for viscosity solutions on Riemannian manifolds

Details Maximum principle for viscosity solutions on Riemannian manifolds Maximum principle for viscosity solutions on Riemannian manifolds

2008-06-29

arxiv.org/abs/0806.4768v3

Mathematics

Differential Geometry

Scientific paper

In this work we consider viscosity solutions to second order partial
differential equations on Riemannian manifolds. We prove maximum principles for
solutions to Dirichlet problem on a compact Riemannian manifold with boundary.
Using a different method, we generalize maximum principles of Omori and Yau to
a viscosity version.

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