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On a linear equation arising in isometric embedding of torus-like surface

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Abstract

The solvability of a linear equation and the regularity of the solution are discussed. The equation is arising in a geometric problem which is concerned with the realization of Alexandroff’s positive annul in R 3.

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Authors and Affiliations

  1. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, 610054, China

    Chunhe Li

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  1. Chunhe Li
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Correspondence to Chunhe Li.

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Li, C. On a linear equation arising in isometric embedding of torus-like surface. Chin. Ann. Math. Ser. B 30, 27–38 (2009). https://doi.org/10.1007/s11401-008-0005-1

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  • DOI: https://doi.org/10.1007/s11401-008-0005-1

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