Publication: Dimensional estimates for singular sets in geometric variational problems with free boundaries
Dimensional estimates for singular sets in geometric variational problems with free boundaries
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De Philippis, G., & Maggi, F. (2017). Dimensional estimates for singular sets in geometric variational problems with free boundaries. Journal Für Die Reine Und Angewandte Mathematik, 2017(725), 217–234. https://doi.org/10.1515/crelle-2014-0100
Abstract
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We show that singular sets of free boundaries arising in codimension one anisotropic geometric variational problems are $ℋ^{n−3}$-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.
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- De Philippis, Guido
- Maggi, Francesco
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De Philippis, G., & Maggi, F. (2017). Dimensional estimates for singular sets in geometric variational problems with free boundaries. Journal Für Die Reine Und Angewandte Mathematik, 2017(725), 217–234. https://doi.org/10.1515/crelle-2014-0100
