Geodesic
On a~calculus of variations problem
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 44, Tome 426 (2014), pp. 12-22

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The paper is of scientific-methodical character. The classical soap film shape (minimal surface) problem is considered, the film being stretched between two parallel coaxial rings. An analytical approach based on relations to the Sturm–Liouville problem is proposed. An energy terms interpretation of the classical Goldschmidt condition is discussed. Appearance of the soliton potential in course of the second variation analysis is noticed. 
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     author = {M. I. Belishev and A. V. Ivanov},
     title = {On a~calculus of variations problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {12--22},
     publisher = {mathdoc},
     volume = {426},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_426_a2/}
}
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M. I. Belishev; A. V. Ivanov. On a~calculus of variations problem. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 44, Tome 426 (2014), pp. 12-22. http://geodesic.mathdoc.fr/item/ZNSL_2014_426_a2/