The comparison of capillary surfaces heights in case of small gravity

DOI10.1016/S0362-546X(99)00252-7zbMath0976.76018MaRDI QIDQ5930176

A. A. jun. Kosmodem'yanskij

Publication date: 8 July 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

existenceasymptotic representation for solutionscapillary surface heightMiranda's conjecturesmall gravity

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Capillarity (surface tension) for incompressible inviscid fluids (76B45)

Cites Work

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• On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions
• Maximum principle gradient estimates for the capillary problem
• Gradient estimates for capillary-type problems via the maximum principle

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