Capillary surfaces in non-cylindrical domains

DOI10.4171/ZAA/978zbMath0960.76019MaRDI QIDQ5926113

Schindlmayr, G.

Publication date: 10 May 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48724

zbMATH Keywords

existencea priori boundsBV-functionsCaccioppoli setconeenergy functionalequilibrium capillary surfacesgraphs of functionsLagrange multiplierminimizersvolume restriction

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Variational problems in a geometric measure-theoretic setting (49Q20) Variational methods applied to problems in fluid mechanics (76M30)

Related Items (1)

Surfaces of prescribed mean curvature in a cone

Cites Work

• On a singular variational integral with linear growth. I: Existence and regularity of minimizers
• Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals
• On capillary free surfaces in the absence of gravity
• The Euler Equation for Functionals with Linear Growth
• BV solutions of quasilinear PDEs in divergence form
• The equilibrium configuration of liquid drops.
• Boundary regularlty for solutions to various capillarity and free boundary problems
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