A sharp minimum principle for the problem of torsionally rigidity

DOI10.1006/JMAA.1999.6291zbMath0928.35036OpenAlexW1980345263MaRDI QIDQ1289051

Xi-Nan Ma

Publication date: 20 July 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6291

zbMATH Keywords

lower boundsminimum principleSaint-Venant equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (5)

A minimum principle for a soap film problem in \({\mathbb{R}^{2}}\) ⋮ A minimum principle for the problem of St-Venant in \({\mathbb{R}^N, N \geq 2}\) ⋮ On some estimates for a fluid surface in a short capillary tube ⋮ Minimum principles and a priori estimates for some translating soliton type problems ⋮ Necessary conditions of solvability and isoperimetric estimates for some Monge-Ampère problems in the plane

Cites Work

• Unnamed Item
• On isoperimetric gradient bounds for Poisson problems and problems of torsional creep
• Maximum principles and their applications
• A minimum principle for the problem of torsional creep
• Sharp size estimates for capillary free surfaces without gravity.
• Solution of Dirichlet's problem for the equation \(\Delta u = -1\) in a convex region
• Some Applications of the Maximum Principle in the Problem of Torsional Creep
• On nonlinear elliptic partial differential equations and hölder continuity

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