On a coupled problem between the plate equation and the membrane equation on polygons
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 1 (1992) no. 2, pp. 187-209.

Abderrahman Maghnouji  ; Serge Nicaise 1

1 Université de Valenciennes et du Hainaut Cambrésis, MACS, Le Mont Houy, 59313 Valenciennes Cedex 9, France. http://www.univ-valenciennes.fr/macs/Serge.Nicaise
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     title = {On a coupled problem between the plate equation and the membrane equation on polygons},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {187--209},
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     volume = {Ser. 6, 1},
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Abderrahman Maghnouji; Serge Nicaise. On a coupled problem between the plate equation and the membrane equation on polygons. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 1 (1992) no. 2, pp. 187-209. https://afst.centre-mersenne.org/item/AFST_1992_6_1_2_187_0/

[1] Blum (H.) and Rannacher (R.) .- On the boundary value problem of the biharmonic operator on domains with angular corners, Math. Meth. in the Appl. Sc., 2 (1980) pp. 556-581. | MR | Zbl

[2] Dauge (M.) .- Elliptic boundary value problems in corner domains. Smoothness and asymptotics of solutions, L.N. in Math., 1341, Springer-Verlag (1988). | MR | Zbl

[3] Dauge (M.) and Nicaise (S.) . - Oblique derivative and interface problems on polygonal domains and networks, Comm. in P.D.E., 14 (1989) pp. 1147-1192. | MR | Zbl

[4] Grisvard (P.) . - Elliptic problems in nonsmooth domains, Monographs and Studies in Mathematics 21, Pitman, Boston (1985). | MR | Zbl

[5] Kato (T.) .- Perturbation theory for linear operators, Springer-Verlag (1966). | MR | Zbl

[6] Kondratiev (V.A.) . - Boundary value problems for elliptic equations in domains with conical or angular points, Trans. Moscow Math. Soc., 16 (1967) pp. 227-313. | MR | Zbl

[7] Maz'Ya (V.G. ) andPlamenevskii (B.A.) .- Estimates in Lp 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, A.M.S. Trans. (2), 123 ( 1984) pp. 1-56. | Zbl

[8] Nečas (J.) . - Les méthodes directes en théorie des équations elliptiques, Masson, Paris (1967). | MR

[9] Nicaise (S.) .- Problèmes aux limites sur les réseaux deux dimensionnels polygonaux topologiques, J. Math. Pures et Appl., 67 (1988) pp. 93-103.

[10] Nicaise (S.) . - Polygonal interface problems - Higher regularity results, Comm. in P.D.E., 15 (1990) pp. 1475-1508. | MR | Zbl

[11] Nicaise (S.) .- Differential equations in Hilbert spaces and applications to boundary value problems in nonsmooth domains, Journ. of Functional Analysis, 96 (1991) pp. 195-218. | MR | Zbl

[12] Nicaise (S.) . - Polygonal interface problems for the biharmonic operator, Pub. IRMA, Lille, 23, n° XI (1991). | MR | Zbl