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Phragmèn–Lindelöf Theorem of Minimal Surface Equations in Domains with Symmetry

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Abstract

Here we prove that if u satisfies the minimal surface equation with vanishing Dirichlet data, in an unbounded domain Ω which is contained in a domain with symmetry, then the growth rate of u is determined completely by the shape of Ω.

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References

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  1. Institute of Mathematics, Academia Sinica, Taipei, 11529, Taiwan, Republic of China

    Chun-Chung Hsieh

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  1. Chun-Chung Hsieh
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Hsieh, CC. Phragmèn–Lindelöf Theorem of Minimal Surface Equations in Domains with Symmetry. Geometriae Dedicata 71, 97–109 (1998). https://doi.org/10.1023/A:1005009011018

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  • DOI: https://doi.org/10.1023/A:1005009011018

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