Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
THE BEST CONSTANT OF SOBOLEV INEQUALITY WHICH CORRESPONDS TO A BENDING PROBLEM OF A STRING WITH PERIODIC BOUNDARY CONDITION
Yoshinori KametakaKohtaro WatanabeAtsushi NagaiHiroyuki YamagishKazuo Takemura
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2007 Volume 66 Issue 2 Pages 151-168

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Abstract

The Green function of periodic boundary value problem with supplementary orthogonality conditions for bending of a string is obtained. The best constant of corresponding Sobolev inequality is found.

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© 2007 International Society for Mathematical Sciences
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