We provide a definition of weighted function of bounded variation when the weight function ω belongs to a certain subclass of Muckenhoupt's A1 weight class. We obtain Poincaré and isoperimetric inequalities in this space and, as an application, we prove existence of minimal surfaces.
Baldi A. (2001). Weighted BV functions. HOUSTON JOURNAL OF MATHEMATICS, 27(3), 683-705.
Weighted BV functions
Baldi A.
2001
Abstract
We provide a definition of weighted function of bounded variation when the weight function ω belongs to a certain subclass of Muckenhoupt's A1 weight class. We obtain Poincaré and isoperimetric inequalities in this space and, as an application, we prove existence of minimal surfaces.File in questo prodotto:
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