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...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Wiley Blackwell (John Wiley & Sons),
2012-06-26T18:15:11Z.
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| Subjects: | |
| Online Access: | Get fulltext |