The geometry of curves of constant contact angle for doubly—connected minimal surfaces

DOI10.1080/03605308908820600zbMath0691.53008OpenAlexW1994081019MaRDI QIDQ3032930

Andrew Acker, Kirk E. Lancaster

Publication date: 1989

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308908820600

zbMATH Keywords

boundary problemsminimal surfacesfree boundarygeometric complexityconstant contact angle

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimality conditions for free problems in two or more independent variables (49K10)

Cites Work

• Unnamed Item
• Regularity and finiteness of solutions to the free boundary problem for minimal surfaces
• Minimal surfaces with free boundaries
• On the boundary behaviour of partially free minimal surfaces
• Minimal surfaces with partially free boundary. Least area property and Hölder continuity for boundaries satisfying a chord-arc condition
• The existence of minimal surfaces of given topological structure under prescribed boundary conditions
• On the geometric form of free boundaries satisfying a bernoulli condition
• Bernstein Functions and the Dirichlet Problem
• Free Boundary Problem
• On a Free Boundary Problem, the Starlike Case
• On the geometric form of free boundaries satisfying a bernoulli condition. II
• Behavior of minimal surfaces with free boundaries
• The Existence of a Minimal Surface of Least Area Bounded by Prescribed Jordan Arcs and Prescribed Surfaces
• Minimal Surfaces Spanning Closed Manifolds
• Minimal Surfaces Spanning Closed Manifolds and Having Prescribed Topological Position
• Cavitational flow in a channel with oscillatory wall

This page was built for publication: The geometry of curves of constant contact angle for doubly—connected minimal surfaces