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- W2023735675 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 Laplace-Beltrami operator on Riemannian manifolds. As an application we show that our monotonicity theorems can be employed to prove the Lipschitz continuity for the solutions of a general class of two-phase free boundary problems on Riemannian manifolds." @default.
- W2023735675 created "2016-06-24" @default.
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- W2023735675 date "2008-12-01" @default.
- W2023735675 modified "2023-09-23" @default.
- W2023735675 title "Monotonicity theorems for Laplace Beltrami operator on Riemannian manifolds" @default.
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