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Bernstein-type techniques for 2D free boundary graphs |
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| Authors: | Daniela De Silva |
| Affiliation: | (1) Department of Mathematics, Barnard College, Columbia University, New York, NY 10027, USA |
| Abstract: | We prove an a priori bound for the Lipschitz constant of a smooth one-phase free boundary graph F(u) in two dimensions. The function u satisfies an elliptic equation in its positive side, and  on F(u). |
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