American Mathematical Society, Providence, Rhode Island - 1991, 405
pages.
Оригинал: Дао Чонг Тхи, Фоменко А.Т. Минимальные поверхности и проблема плато. "Наука", Москва - 1987. The book is an account of the current state of the theory of minimal surfaces and of one of the most important chapters of this theory—the Plateau problem, i.e. the problem of the existence of a minimal surface with boundary prescribed in advance. The authors exhibit deep connections of minimal surface theory with differential equations, Lie groups and Lie algebras, topology, and multidimensional variational calculus. The presentation is simplified to a large extent; the book is fuished with a wealth of illustrative material.
Оригинал: Дао Чонг Тхи, Фоменко А.Т. Минимальные поверхности и проблема плато. "Наука", Москва - 1987. The book is an account of the current state of the theory of minimal surfaces and of one of the most important chapters of this theory—the Plateau problem, i.e. the problem of the existence of a minimal surface with boundary prescribed in advance. The authors exhibit deep connections of minimal surface theory with differential equations, Lie groups and Lie algebras, topology, and multidimensional variational calculus. The presentation is simplified to a large extent; the book is fuished with a wealth of illustrative material.