Grigoryeva E.G. Estimates of sobolev constant

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Grigoryeva Elena Gennadievna
 
Candidate of Physics and Mathematics, Associate Professor, Chair of Computer Science and Experimental Mathematics, Volgograd State University
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Prospect Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. We give some estimates constant of Sobolev inequality in Finsler metrics.

Key words: Finsler metrics, Sobolev inequality, potential theory, Jacobian of mapping, asymptotic estimates of metric.

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Estimates of Sobolev constant by Grigoryeva E.G. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №2 (15) 2011 pp. 17-22

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