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A Free Boundary Problem for Minimal Surface Equation
A Free Boundary Problem for Minimal Surface Equationopenaire
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Removable Singularities of Solutions of the Symmetric Minimal Surface Equation
Vietnam Journal of Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
U. Dierkes
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Solutions of the minimal surface equation and of the Monge–Ampère equation near infinity
Journal für die reine und angewandte Mathematik (Crelles Journal)Classical results assert that, under appropriate assumptions, solutions near infinity are asymptotic to linear functions for the minimal surface equation and to quadratic polynomials for the Monge–Ampère equation for dimension n ≥ 3 n\geq 3 , with an ...
Qing Han, Zhehui Wang
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Archive for Rational Mechanics and Analysis, 1966
H. Jenkins, J. Serrin
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H. Jenkins, J. Serrin
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Proceedings - Mathematical Sciences, 2017
In this paper, we investigate relations between solutions to the minimal surface equation in Euclidean 3-space E3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
S. Akamine, R. Singh
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In this paper, we investigate relations between solutions to the minimal surface equation in Euclidean 3-space E3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
S. Akamine, R. Singh
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On Equations of Minimal Surface Type
The Annals of Mathematics, 1954Let D be a plane domain, r its boundary. Let s* be a continuous function defined on r. The function s* then determines a curve T in (x, y, so) space of which r is a simply covered projection. Such a curve is said to satisfy a threepoint condition with constant A provided that any plane which intersects it in three or more points has maximum inclination
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1984
The minimal surface equation is a system of non-linear elliptic partial differential equations of the form $$ \sum\limits_{{i,j + 1}}^{n} {{{a}_{{ij}}}\frac{{{{\partial }^{2}}{{y}_{k}}}}{{\partial {{x}_{i}}\partial {{x}_{j}}}} = 0,{\text{ k = 1,}} \ldots {\text{,m,}}} $$ (1)
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The minimal surface equation is a system of non-linear elliptic partial differential equations of the form $$ \sum\limits_{{i,j + 1}}^{n} {{{a}_{{ij}}}\frac{{{{\partial }^{2}}{{y}_{k}}}}{{\partial {{x}_{i}}\partial {{x}_{j}}}} = 0,{\text{ k = 1,}} \ldots {\text{,m,}}} $$ (1)
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The affine Toda equations and minimal surfaces
1994In this article we consider geometrical interpretations of the two-dimensional affine Toda equations for a compact simple Lie group G. These equations originated from the work of Toda [33],[34] over 25 years ago on vibrations of lattices, and they have received considerable attention from both pure and applied mathematicians particularly over the last ...
J. Bolton, L. M. Woodward
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Water, Air and Soil Pollution, 2023
A. J. Wan, Z. C. Zheng, B. Zhao, D. Yang
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A. J. Wan, Z. C. Zheng, B. Zhao, D. Yang
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