On a Problem in the Calculus of Variations

被引：0
|
作者：
Belishev M.I. [1 ]
Ivanov A.V. [2 ]
机构：
[1] St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg
[2] St. Petersburg State University, St. Petersburg
来源：
Journal of Mathematical Sciences | 2016年 / 214卷 / 3期
关键词：
Soliton; Minimal Surface; Liouville Equation; Liouville Theory; Liouville Problem;
D O I：
10.1007/s10958-016-2774-5
中图分类号：
学科分类号：
摘要：
The paper has a scientific-methodical nature. The classical soap film shape (minimal surface) problem is considered, the film being stretched between two parallel coaxial rings. An analytic approach based on the relations to the Sturm–Liouville problem is proposed. An interpretation of the energy terms of the classical Goldschmidt condition is discussed. The appearance of a soliton potential when analyzing the second variation is noticed. Bibliography: 3 titles. © 2016, Springer Science+Business Media New York.
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页码：252 / 259
页数：7
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