Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
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Bull. Korean Math. Soc. 2002; 39(1): 81-87

Printed March 1, 2002

Copyright © The Korean Mathematical Society.

Hardy's inequality related to a Bernoulli equation

Jung-Soon Hyun and Sang Dong Kim

Graduate School of Management KAIST, Kyungpook National University

Abstract

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The weighted Hardy's inequality is known as \begin{displaymath} \int_a^b |u(x)|^{p}r(x)dx \leq C\int_a^b|u'(x)|^{p}s(x)dx \end{displaymath} where $-\infty \leq a \leq b \leq \infty$ and $1

Keywords: Hardy's inequality, Bernoulli equation

MSC numbers: 26D10

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