Unstable extremal surfaces of the ``Shiffman functional spanning rectifiable boundary curves

DOI10.1007/S00526-006-0052-YzbMath1108.53006OpenAlexW2058754603MaRDI QIDQ866980

Ruben Jakob

Publication date: 14 February 2007

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/68497

zbMATH Keywords

mountain pass theoremdominant area term

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Boundary value problems for nonlinear higher-order PDEs (35G30) Optimization of shapes other than minimal surfaces (49Q10)

Cites Work

• Unstable extremal surfaces of the ``Shiffman-functional
• Boundary behavior of minimal surfaces
• On surfaces of constant mean curvature with polygonal boundaries
• Unstable surfaces of constant mean curvature
• Instability for double integral problems in the calculus of variations
• The Continuity of the Area of Harmonic Surfaces as a Function of the Boundary Representations
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