Existence and regularity of stable branched minimal hypersurfaces (Q938584)

From the abstract: This is primarily an expository article focused upon the recent work of the author on the local structure of stable branched minimal hypersurfaces and the joint work of L. Simon and the author on the existence of stable branched minimal immersions in a Euclidean space of arbitrary dimension \(\geq 3\). The author discusses regularity and compactness theorems for immersed stable minimal hypersurfaces. He gives a description of a method which shows the existence in Euclidean space of a rich class of stable minimal hypersurfaces with branch point singularities.