Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2018; 33(1): 317-323

Online first article January 9, 2018      Printed January 31, 2018

https://doi.org/10.4134/CKMS.c170140

Copyright © The Korean Mathematical Society.

The first eigenvalue of some $(p,q)$-Laplacian and geometric estimates

Shahroud Azami

Imam Khomeini International University

Abstract

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We study the nonlinear eigenvalue problem for some of the $(p,q)$-Laplacian on compact manifolds with zero boundary condition. In particular, we obtain some geometric estimates for the first eigenvalue.

Keywords: $(p,q)$-Laplacian, eigenvlaue problem, geometric constant

MSC numbers: 35P15, 47J10, 53C21

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