On a class of capillary surfaces

DOI10.1007/BF02795489zbMath0257.76007MaRDI QIDQ2559286

Robert Finn, Paul Concus

Publication date: 1970

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

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (16)

A capillary surface with no radial limits ⋮ Exact solutions of the Laplace–Young equation ⋮ Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials ⋮ Analysis of a one-dimensional prescribed mean curvature equation with singular nonlinearity ⋮ Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator ⋮ On the measurement of surface tension and contact angle ⋮ On the exterior capillarity problem ⋮ Global components of positive bounded variation solutions of a one-dimensional indefinite quasilinear Neumann problem ⋮ Randwertprobleme für Flächen mit vorgeschriebener mittlerer Krümmung und Anwendungen auf die Kapillaritätstheorie. II: Freie Ränder. (Boundary value problems for surfaces with prescript mean curvature and applications to the capillarity theory. II: Free boundary values) ⋮ Positive solutions of a one-dimensional indefinite capillarity-type problem: a variational approach ⋮ On capillary free surfaces in the absence of gravity ⋮ A note on the capillary problem ⋮ On capillary free surfaces in a gravitational field ⋮ Regular versus singular solutions in a quasilinear indefinite problem with an asymptotically linear potential ⋮ Unnamed Item ⋮ Bifurcation of positive solutions for a one-dimensional indefinite quasilinear Neumann problem

Cites Work

• New estimates for equations of minimal surface type
• Differentiability and analyticity of solutions of double integral variational problems
• ON THE BEHAVIOR OF A CAPILLARY SURFACE IN A WEDGE

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