On the uniform convergence of piecewise linear solutions of an equilibrium capillary surface equation

DOI10.1134/S1990478915030096zbMath1349.49050MaRDI QIDQ3186875

A. A. Klyachin

Publication date: 12 August 2016

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

zbMATH Keywords

minimal surface equationpiecewise-linear functionapproximation of an energy functional

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Generalized solutions for the mean curvature equation
• The internal sphere condition and the capillary problem
• Existence and regularity of a capillary surface with prescribed contact angle
• On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions
• A uniqueness theorem for the minimal surface equation
• How many theorems can be derived from a vector function -- on uniqueness theorems for the minimal surface equation
• On uniform convergence of piecewise-linear solutions to minimal surface equation
• Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations
• Solvability of Quasilinear Elliptic Equations with Nonlinear Boundary Conditions
• On the existence of a capillary surface with prescribed contact angle
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