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.
Weighted BV functions / Baldi A.. - In: HOUSTON JOURNAL OF MATHEMATICS. - ISSN 0362-1588. - STAMPA. - 27:3(2001), pp. 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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