Sobolev classes of mappings on a Carnot-Carathéodory space: Various norms and variational problems
作者： S. K. Vodop’yanov , N. N. Romanovskiĭ
DOI: 10.1007/S11202-008-0080-2
关键词: Uniqueness 、 Pure mathematics 、 Equivalence (formal languages) 、 Mathematics 、 Sobolev inequality 、 Carnot cycle 、 Mathematical analysis 、 Sobolev space
摘要: We prove the equivalence of various definitions Sobolev classes and BV-class metric-space-valued mappings on some domain in a Carnot-Caratheodory space. Moreover, we existence uniqueness solution to variational problem.
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