Regularity For Quasiregular Mappings In Carnot-carathéodory Spaces

Posted on:2010-03-16

Degree:Master

Type:Thesis

Country:China

Candidate:J Hu

Full Text:PDF

GTID:2190360302961749

Subject:Applied Mathematics

Abstract/Summary:

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Regularity for quasiregular mappings in Carnot-Caratheodory spaces is ob-tained:There exists two numbers q(n,K)<n<p(n,K) such that for every every quasiregular mapping belongs to Moreover, for eachφ∈C0∞(Ω) the Caccioppoli type inequality holds, where⊕denotes the tensor product.

Keywords/Search Tags:

Carnot-Carathéodory space, quasiregular mapping, regularity Caccioppoli inequality, Sobolev space

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