On the equation of minimal surface in R3: various representations,properties of exact solutions,conservation laws |
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| Authors: | E. Sh. Gutshabash |
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| Affiliation: | 1.St. Petersburg State University,St. Petersburg,Russia |
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| Abstract: | Various representations of the equation of minimal surface in mathbbR3 {mathbb{R}^3} are considered. Properties of exact solutions are studied, and a procedure of construction 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. Bibliography: 19 titles. |
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