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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 374, Pages 121–135
(Mi znsl3598)
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This article is cited in 2 scientific papers (total in 2 papers)
On equation of minimal surface in $\mathbb R^3$: different representations, properties of exact solutions, conservation laws
E. Sh. Gutshabash St. Petersburg State University, Faculty of Physics, St. Petersburg, Russia
Abstract:
Various representations of the equation of minimal surface in $\mathbb R^3$ are considered. Properties of exact solutions are studied and a procedure to construct the corresponding conservation laws is suggested. Links between the solutions of this equation and those of the elliptic version of the Monge–Ampere equation are found. Bibl. – 19 titles.
Key words and phrases:
equation of minimal surface in $\mathbb R^3$, exact solutions, Cauchy–Green formula, conservation laws, Monge–Ampere equation.
Received: 12.04.2010
Citation:
E. Sh. Gutshabash, “On equation of minimal surface in $\mathbb R^3$: different representations, properties of exact solutions, conservation laws”, Questions of quantum field theory and statistical physics. Part 21, Zap. Nauchn. Sem. POMI, 374, POMI, St. Petersburg, 2010, 121–135; J. Math. Sci. (N. Y.), 168:6 (2010), 829–836
Linking options:
https://www.mathnet.ru/eng/znsl3598 https://www.mathnet.ru/eng/znsl/v374/p121
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Abstract page: | 442 | Full-text PDF : | 105 | References: | 56 |
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