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 Hardy's inequality related to a Bernoulli equation Bull. Korean Math. Soc. 2002 Vol. 39, No. 1, 81-87 Published online March 1, 2002 Jung-Soon Hyun and Sang Dong Kim Graduate School of Management KAIST, Kyungpook National University Abstract : 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 Downloads: Full-text PDF