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Liouville's formula under the viewpoint of minimal surfaces - MaRDI portal

Liouville's formula under the viewpoint of minimal surfaces (Q1429984)

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scientific article; zbMATH DE number 2066959
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Liouville's formula under the viewpoint of minimal surfaces
scientific article; zbMATH DE number 2066959

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    Liouville's formula under the viewpoint of minimal surfaces (English)
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    27 May 2004
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    The authors study the equation \(\Delta u= e^{2u}\) in dimension two and review the Liouville's formula for a solution \(u\) in terms of the Weierstrass representation of a minimal surface in \(\mathbb{R}^3\). The authors give hysterical overview related to this problem and prove Chen-Li's symmetry theorem in the context of minimal surface theory.
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    Weierstrass representation
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    numerical surface theory
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