On a coupled problem between the plate equation and the membrane equation on polygons

DOI10.5802/afst.745zbMath0794.35046OpenAlexW2312968711MaRDI QIDQ1801430

Serge Nicaise, Abderrahman Maghnouji

Publication date: 31 August 1994

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1992_6_1_2_187_0

zbMATH Keywords

Laplace operatorbiharmonic operatorinterface problempolygonal domainsexpansion of the variational solution into regular and singular parts

Mathematics Subject Classification ID

Related Items (1)

Transmission problems on polygonal networks for systems of PDEs

Cites Work

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• Le laplacien sur les résaux deux-dimensionnels polygonaux topologiques. (The Laplacian in two-dimensional polygonal topological networks)
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Differential equations in Hilbert spaces and applications to boundary value problems in nonsmooth domains
• Estimates in 𝐿_{𝑝} and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary
• Oblique derivative and interface problems on polygonal domains and networks
• Polygonal interface problems:higher regularity results
• On the boundary value problem of the biharmonic operator on domains with angular corners

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