A Saint-Venant principle for a class of second-order elliptic boundary value problems

DOI10.1007/BF01601718zbMath0189.25102OpenAlexW2054104010MaRDI QIDQ2537594

James K. Knowles

Publication date: 1967

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

Full work available at URL: https://doi.org/10.1007/bf01601718

zbMATH Keywords

mechanics of solids

Related Items (13)

The Dirichlet problem for a thin rectangle ⋮ Equations with nonnegative characteristic form. I ⋮ Equations with nonnegative characteristic form. II ⋮ Behavior of blow-up solutions for quasilinear parabolic equations ⋮ A Saint-Venant principle for the gradient in the Neumann problem ⋮ Exponential decay estimates for second-order quasi-linear elliptic equations ⋮ Maximum principles and pointwise error estimates for torsion of shells of revolution ⋮ Exponential decay estimates for a class of nonlinear Dirichlet problems ⋮ A Saint-Venant principle for the Neumann problem with a nonthin two- dimensional domain ⋮ From shape variation to topological changes in constrained minimization: a velocity method-based concept ⋮ Energy inequalities and error estimates for torsion of elastic shells of revolution ⋮ Determination of the solutions of boundary value problems for stationary Stokes and Navier-Stokes equations having an unbounded Dirichlet integral ⋮ On the asymptotic behavior of solutions of linear second-order boundary- value problems on a semi-infinite strip

Cites Work

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• On Saint-Venant's principle and the torsion of solids of revolution
• On the stability of linear continuous systems
• Saint-Venant’s procedure and Saint-Venant’s principle
• Applications of Asymptotic Integration to Potential Problems for Shells
• On asymptotic expansions in plate theory
• On Saint-Venant’s principle

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