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Maximum Eigenvalue Problem for Escherization

โœ Scribed by Hiroshi Koizumi; Kokichi Sugihara


Publisher
Springer Japan
Year
2011
Tongue
English
Weight
413 KB
Volume
27
Category
Article
ISSN
0911-0119

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Let \(\lambda_{n}(q)\) be the \(n\)th eigenvalue of the Sturm-Liouville equation \(y^{\prime \prime}+(\lambda-q(x)) y=0\), \(y(-l / 2)=y(l / 2)=0\). With certain restrictions on the class of functions \(q\) we determine the shapes of the solutions of the extremal problems for the functionals \(\lamb