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On Exact Constant in the Generalized Poincare Inequality |
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| Authors: | A I Nazarov |
| Abstract: | Some problems concerning an exact constant in the generalized Poincare inequality
![$$\lambda _{pq} = \min \frac{{\left\| {y'} \right\|_{L_p 0,1]} }}{{\left\| y \right\|_{L_q 0,1]} }}$$](/content/k14m3115jv153t73/10958_2004_Article_453918_TeX2GIFIE1.gif)
with
are discussed. In particular, the conjecture that the extremal of this problem is symmetric is confirmed. Bibliography: 7 titles. |
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