Surveys in Differential Geometry
Volume 19 (2014)
Regularity of stable minimal hypersurfaces: Recent advances in the theory and applications
Pages: 231 – 301
We survey some recent progress in the regularity theory of stable minimal hypersurfaces, describing also earlier work related to the recent results, some applications of the recent results, and key aspects of their proofs.
varifolds, currents, stable minimal hypersurfaces, first variation, second variation, stationarity, stability, tangent cones, regularity theory, classical singularities, branch points, maximum principle, unique continuation, phase transition, blow up
2010 Mathematics Subject Classification