Study of the Existence and Uniqueness of Polygonal Minimal Surfaces

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.

Authors

Alеksеy Klyachin
Vladimir Klyachin (ORCID: https://orcid.org/0000-0003-1922-7849)

Institutions

Volgograd State University (RU)

Publication Details

Journal: Lobachevskii Journal of Mathematics
Published: 2025-03-01
DOI: https://doi.org/10.1134/s1995080225605156
Primary Topic: Geometric Analysis and Curvature Flows
Type: article
Field-Weighted Citation Impact: 0.00

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article

Study of the Existence and Uniqueness of Polygonal Minimal Surfaces

Alеksеy Klyachin, Vladimir Klyachin

Mar 1, 2025

Lobachevskii Journal of Mathematics

Geometric Analysis and Curvature Flows

article

Study of the Existence and Uniqueness of Polygonal Minimal Surfaces

Alеksеy Klyachin, Vladimir Klyachin

March 1, 2025article en

Abstract

Lobachevskii Journal of MathematicsVol. 46(3)

Volgograd State University (RU)

Openalex Percentile: Top 75%

Geometric Analysis and Curvature Flows

DOI Source OpenAlex

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Study of the Existence and Uniqueness of Polygonal Minimal Surfaces — Alеksеy Klyachin, Vladimir Klyachin · Lobachevskii Journal of Mathematics (2025) | TGRS Research Map | TGRS