A Gradient Bound for Free Boundary Graphs

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...

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Bibliographic Details
Main Authors: De Silva, Daniela (Author), Jerison, David S. (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Wiley Blackwell (John Wiley & Sons), 2012-06-26T18:15:11Z.
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Online Access:Get fulltext
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100 1 0 |a De Silva, Daniela  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
100 1 0 |a Jerison, David S.  |e contributor 
100 1 0 |a Jerison, David S.  |e contributor 
700 1 0 |a Jerison, David S.  |e author 
245 0 0 |a A Gradient Bound for Free Boundary Graphs 
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856 |z Get fulltext  |u http://hdl.handle.net/1721.1/71210 
520 |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. 
520 |a National Science Foundation (U.S.) (grant DMS-0244991) 
546 |a en_US 
655 7 |a Article 
773 |t Communications on Pure and Applied Mathematics