Sharp estimates in Hölder spaces and precise Saint-Venant principle for solutions of the biharmonic equation

zbMath0584.35038MaRDI QIDQ1070431

I. Kopachek, D. M. Lekveishvili, Vladimir Kondratiev, Olga A. Oleinik

Publication date: 1986

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

generalized solutionsDirichlet problemunbounded domainDirichlet boundary conditionsbiharmonic equationHölder spacesuniqueness theoremshomogeneous boundary conditionsexact Saint-Venant principlefinite energy at infinitynon-improvable estimates

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Saint-Venant's principle (74G50) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) A priori estimates in context of PDEs (35B45)

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