We show that singular sets of free boundaries arising in codimension one anisotropic geometric variational problems are Hn−3-negligible, where n is the ambient space dimension. In particular our results apply to capillarity type problems, and establish everywhere regularity in the three-dimensional case.
Dimensional estimates for singular sets in geometric variational problems with free boundaries / De Philippis, G.; Maggi, F.. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 0075-4102. - 2017:725(2017), pp. 217-234. [10.1515/crelle-2014-0100]
Dimensional estimates for singular sets in geometric variational problems with free boundaries
De Philippis, G.;
2017-01-01
Abstract
We show that singular sets of free boundaries arising in codimension one anisotropic geometric variational problems are Hn−3-negligible, where n is the ambient space dimension. In particular our results apply to capillarity type problems, and establish everywhere regularity in the three-dimensional case.File in questo prodotto:
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