Some remarks on stability of cones for the one-phase free boundary problem
Author(s)
Savin, Ovidiu
Jerison, David S
Date Issued
July 2015
Journal
Geometric and Functional Analysis
Publisher
Springer Nature
Citation
Jerison, David and Ovidiu Savin. “Some Remarks on Stability of Cones for the One-Phase Free Boundary Problem.” Geometric and Functional Analysis 25, 4 (July 2015): 1240–1257 © 2015 Springer Basel
Version
Author's final manuscript
Abstract
We show that stable cones for the one-phase free boundary problem are hyperplanes in dimension 4. As a corollary, both one and two-phase energy minimizing hypersurfaces are smooth in dimension 4.
Keywords: Free Boundary; Minimal Surface; Free Boundary Problem; Stable Cone; Strict Subsolution
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/S00039-015-0335-6
