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On the minimum problem for nonconvex, multiple integrals of product type

✍ Scribed by Pietro Celada; Stefania Perrotta

Publisher
Springer
Year
2001
Tongue
English
Weight
207 KB
Volume
12
Category
Article
ISSN
0944-2669

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On the Maximum and Minimum of Some Funct
On the Maximum and Minimum of Some Functionals for the Eigenvalue Problem of Sturm-Liouville Type
✍ H.H. Chern; C.L. Shen πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 461 KB

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