The Saint-Venant principle in the two-dimensional theory of elasticity and boundary problems for a biharmonic equation in unbounded domains

DOI10.1007/BF00973610zbMath0448.35039MaRDI QIDQ1146824

G. A. Iosif'yan, Olga A. Oleinik

Publication date: 1978

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/61819

zbMATH Keywords

boundary problemsbiharmonic equationunbounded domainsSaint-Venant principletheory of elasticity

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Saint-Venant's principle (74G50) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (4)

Spatial Decay Estimates for a Class of Second-Order Quasilinear Elliptic Partial Differential Equations Arising in Anisotropic Nonlinear Elasticity ⋮ Exponential decay estimates for solutions of the von Kármán equations on a semi-infinite strip ⋮ Spatial Decay Estimates for the Biharmonic Equation in Plane Polars with Applications to Plane Elasticity ⋮ Saint-Venant decay rates for an inhomogeneous isotropic linear thermoelastic strip

Cites Work

• On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
• Saint-Venant's principle
• A phragmén-lindelöf theorem in harmonic analysis and its application to some questions in the theory of elliptic equations
• On Singularities at the boundary points and uniqueness theorems of the first boundary value problem of elasticity
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