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|a De Silva, Daniela
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Jerison, David S.
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|a Jerison, David S.
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|a Jerison, David S.
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|a A Gradient Bound for Free Boundary Graphs
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|b Wiley Blackwell (John Wiley & Sons),
|c 2012-06-26T18:15:11Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/71210
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|a We prove an analogue for a one-phase free boundary problem of the classical gradient bound for solutions to the minimal surface equation. It follows, in particular, that every energy-minimizing free boundary that is a graph is also smooth. The method we use also leads to a new proof of the classical minimal surface gradient bound.
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|a National Science Foundation (U.S.) (grant DMS-0244991)
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|a en_US
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|a Article
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|t Communications on Pure and Applied Mathematics
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