Monotonicity theorems for Laplace Beltrami operator on Riemannian manifolds
نویسندگان
چکیده
منابع مشابه
Monotonicity Theorems for Laplace Beltrami Operator on Riemannian Manifolds
Abstract. For free boundary problems on Euclidean spaces, the monotonicity formulas of Alt-Caffarelli-Friedman and Caffarelli-Jerison-Kenig are cornerstones for the regularity theory as well as the existence theory. In this article we establish the analogs of these results for the LaplaceBeltrami operator on Riemannian manifolds. As an application we show that our monotonicity theorems can be e...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2011
ISSN: 0001-8708
DOI: 10.1016/j.aim.2010.08.006