Directionally Dependent Asymptotic Behavior of Biharmonic Functions with Applications to Elasticity

DOI10.1137/0516062zbMath0591.73027OpenAlexW2059327438MaRDI QIDQ3719919

Kenneth B. Howell

Publication date: 1985

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0516062

zbMATH Keywords

uniquenessunbounded domainsinfinite domainsdirectional dependencyslightly periodic boundary value problemslocal bounds on the gradientslocal bounds on the original biharmonic functionstwo independent distances

Mathematics Subject Classification ID

Elastic materials (74B99) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (3)

Multiple and maximal periodicity in linear elastostatics ⋮ Periodic elastic states: Nontrivial body forces and exponentially decreasing asymptotic behavior ⋮ The asymptotic behavior of doubly periodic strain states

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