A minimum principle for the problem of St-Venant in \({\mathbb{R}^N, N \geq 2}\)

DOI10.1007/s00033-012-0217-9zbMath1259.35085OpenAlexW2016117309MaRDI QIDQ1925830

Yanyan Li

Publication date: 19 December 2012

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

Full work available at URL: https://doi.org/10.1007/s00033-012-0217-9

zbMATH Keywords

minimum principleDirichlet eigenvalue problemproblem of St-Venant

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 (6)

A minimum principle for a soap film problem in \({\mathbb{R}^{2}}\) ⋮ On some estimates for a fluid surface in a short capillary tube ⋮ Sharp bounds for the first eigenvalue of a fourth-order Steklov problem ⋮ Minimum principles and a priori estimates for some translating soliton type problems ⋮ Towards optimal gradient bounds for the torsion function in the plane ⋮ Necessary conditions of solvability and isoperimetric estimates for some Monge-Ampère problems in the plane

Cites Work

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• Convex solutions of certain elliptic equations have constant rank Hessians
• A sharp minimum principle for the problem of torsionally rigidity
• On a fourth order Steklov eigenvalue problem
• Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature
• Some Isoperimetric Inequalities for Harmonic Functions
• Remarks on a Stekloff Eigenvalue Problem
• A Remark on Linear Elliptic Differential Equations of Second Order

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