Bounds for vertical points of solutions of prescribed mean curvature type equations, I

DOI10.1017/S0308210500028158zbMath0685.35022MaRDI QIDQ4735490

F. V. Atkinson, Lambertus A. Peletier

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

radial solutionssign conditioncurvature equationprescribed meanvertical points

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational methods for second-order elliptic equations (35J20) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (3)

Analysis of a one-dimensional prescribed mean curvature equation with singular nonlinearity ⋮ A characterization of convex calibrable sets in \(\mathbb R^N\) with respect to anisotropic norms ⋮ A characterization of convex calibrable sets in \(\mathbb R^N\)

Cites Work

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• Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation
• Uniqueness results for some nonlinear initial and boundary value problems
• Removable singularities of some strongly nonlinear elliptic equations
• ON NONEXISTENCE OF GROUND STATES
• Emden-Fowler equations involving critical exponents
• The shape of a pendant liquid drop
• Static menisci in a vertical right circular cylinder

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