Grigoryeva E.G. Some estimates of principal frequency for finsler metrics

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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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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. We give some estimates for principal p-frequency in Finsler metrics. Also, we prove some version of Cheeger’s inequality for Finsler metrics.

Key words: principal frequency, eigenvalues of operator, Finsler metric, Cheeger inequality, coarea formula.

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Some estimates of principal frequency for Finsler metrics 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. №1 (14) 2011 pp. 18-22

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