Estimates for solutions of the Dirichlet problem for the biharmonic equation in a neighbourhood of an irregular boundary point and in a neighbourhood of infinity. Saint-Venant's principle

DOI10.1017/S0308210500016012zbMath0524.35036OpenAlexW2071307326MaRDI QIDQ3037893

Vladimir Kondratiev, Olga A. Oleinik

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500016012

zbMATH Keywords

Dirichlet problem Saint-Venant's principle estimates biharmonic equation irregular boundary point

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Boundary value problems for higher-order elliptic equations (35J40) Saint-Venant's principle (74G50) A priori estimates in context of PDEs (35B45) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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Cites Work

On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics

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