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Maximum principle for viscosity solutions on Riemannian manifolds

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 نشر من قبل Detang Zhou
 تاريخ النشر 2011
  مجال البحث
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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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