@article {1534-0392_2017_4_1427,
	title = {Minimizers of anisotropic perimeters with cylindrical norms},
	journal = {Communications on Pure \& Applied Analysis},
	volume = {16},
	number = {1534-0392_2017_4_142},
	year = {2017},
	pages = {1427},
	abstract = {<p>We study various regularity properties of minimizers of the Φ{\textendash}perimeter, where Φ is a norm. Under suitable assumptions on Φ and on the dimension of the ambient space, we prove that the boundary of a cartesian minimizer is locally a Lipschitz graph out of a closed singular set of small Hausdorff dimension. Moreover, we show the following anisotropic Bernstein-type result: any entire cartesian minimizer is the subgraph of a monotone function depending only on one variable.</p>},
	keywords = {anisotropic Bernstein problem;, minimal cones, Non parametric minimal surfaces, Sets of finite perimeter},
	issn = {1534-0392},
	doi = {10.3934/cpaa.2017068},
	url = {http://aimsciences.org//article/id/47054f15-00c7-40b7-9da1-4c0b1d0a103d},
	author = {Giovanni Bellettini and Matteo Novaga and Shokhrukh Kholmatov}
}
