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- W2131383688 abstract "We consider the generalized Wirtinger inequality [ left( int_{0}^{T} a |u|^q right)^{1/q} le C biggm(int_{0}^{T} a^{1-p} |u'|^{p}biggm)^{1/p}, ] with $p,q>1$, $T>0$, $ain L^1[0,T]$, $age0$, $anotequiv0$ and where $u$ is a $T$-periodic function satisfying the constraint [ int_{0}^{T} a |u|^{q-2}u =0. ] We provide the best constant $C>0$ as well as all extremals. Furthermore, we characterize the natural functional space where the inequality is defined." @default.
- W2131383688 created "2016-06-24" @default.
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- W2131383688 date "2010-04-01" @default.
- W2131383688 modified "2023-09-29" @default.
- W2131383688 title "A sharp weighted Wirtinger inequality and some related functional spaces" @default.
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- W2131383688 doi "https://doi.org/10.36045/bbms/1274896200" @default.
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