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Abstract <p>The article considers the problem of existence of graphs with prescribed mean curvature in the class of piecewise linear functions. Sufficient conditions for the solvability of this problem and conditions for uniform convergence of the corresponding approximate solutions are obtained.</p>

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Study of the Existence and Uniqueness of Polygonal Minimal Surfaces

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • A. A. Klyachin,
  • V. A. Klyachin

摘要

Abstract

The article considers the problem of existence of graphs with prescribed mean curvature in the class of piecewise linear functions. Sufficient conditions for the solvability of this problem and conditions for uniform convergence of the corresponding approximate solutions are obtained.