Regularity for the nonlinear Signorini problem
Date
2008Source
Advances in MathematicsVolume
217Issue
3Pages
1301-1312Google Scholar check
Keyword(s):
Metadata
Show full item recordAbstract
We study the regularity of the solution to a fully nonlinear version of the thin obstacle problem. In particular we prove that the solution is C1, α for some small α > 0. This extends a result of Luis Caffarelli of 1979. Our proof relies on new estimates up to the boundary for fully nonlinear equations with Neumann boundary data, developed recently by the authors. © 2007 Elsevier Inc. All rights reserved.