A minimum principle for a soap film problem in \({\mathbb{R}^{2}}\)

DOI10.1007/S00033-012-0240-XzbMath1275.35088OpenAlexW2082622221MaRDI QIDQ353366

Luminita Barbu, Cristian Enache

Publication date: 12 July 2013

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-012-0240-x

zbMATH Keywords

a priori boundscritical pointminimum principlesoap filmmean curvature equationthin extensible film

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Maximum principles in context of PDEs (35B50)

Related Items (5)

Uniqueness of critical points and maximum principles of the singular minimal surface equation ⋮ On some estimates for a fluid surface in a short capillary tube ⋮ Minimum principles and a priori estimates for some translating soliton type problems ⋮ Gradient estimates for the constant mean curvature equation in hyperbolic space ⋮ Necessary conditions of solvability and isoperimetric estimates for some Monge-Ampère problems in the plane

Cites Work

• Unnamed Item
• Maximum principles and their applications
• Convexity of capillary surfaces in the outer space
• A minimum principle for the problem of torsional creep
• A sharp minimum principle for the problem of torsionally rigidity
• Sharp size estimates for capillary free surfaces without gravity.
• A minimum principle for the problem of St-Venant in \({\mathbb{R}^N, N \geq 2}\)
• On two conjectures in the fixed membrane eigenvalue problem
• A symmetry problem in potential theory
• Comparison theorems for a class of nonlinear elliptic boundary value problems
• Comparison results in second order quasilinear Dirichlet problems
• Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
• A Remark on Linear Elliptic Differential Equations of Second Order
• On nonlinear elliptic partial differential equations and hölder continuity
• On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations

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