The Asymptotic Shape of a Boundary Layer of Symmetric Willmore Surfaces of Revolution

DOI10.1007/978-3-0348-0249-9_2zbMath1253.49032OpenAlexW2264719838MaRDI QIDQ3145990

Hans-Christoph Grunau

Publication date: 17 December 2012

Published in: Inequalities and Applications 2010 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0249-9_2

zbMATH Keywords

Dirichlet boundary conditionsboundary layerasymptotic shapeWillmore surfaces of revolution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10) Nonlinear ordinary differential operators (34L30)

Related Items (4)

Unstable Willmore surfaces of revolution subject to natural boundary conditions ⋮ Willmore Obstacle Problems under Dirichlet Boundary Conditions ⋮ Boundary value problems for a special Helfrich functional for surfaces of revolution: existence and asymptotic behaviour ⋮ Elastic curves and phase transitions

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