On the behavior of a capillary surface at a singular point

DOI10.1007/BF02786711zbMath0331.35029OpenAlexW1986000331MaRDI QIDQ1227875

Robert Finn

Publication date: 1976

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02786711

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Surfaces in Euclidean and related spaces (53A05) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items (7)

Ground states of a prescribed mean curvature equation ⋮ Unnamed Item ⋮ Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators ⋮ Ni-Serrin type equations arising from capillarity phenomena with non-standard growth ⋮ Ground States for the Prescribed Mean Curvature Equation ⋮ Positive solutions of the prescribed mean curvature equation with exponential critical growth ⋮ On some unsolved problems of zero-gravity hydromechanics

Cites Work

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• A singular solution of the capillary equation. I: Existence
• A singular solution of the capillary equation. II: Uniqueness
• Removable singularities of solutions of elliptic equations. II
• Remarks relevant to minimal surfaces and to surfaces of prescribed mean curvature
• Isolated singularities of minimal surfaces
• Isolated Singularities of Solutions of Nonlinear Partial Differential Equations

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