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: | en_US |
| Published: |
Wiley Blackwell (John Wiley & Sons)
2012
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| Online Access: | http://hdl.handle.net/1721.1/71210 https://orcid.org/0000-0002-9357-7524 |