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Zbl 0853.73038
Genevey, K.
A regularity result for a linear membrane shell problem.
(English)
[J] RAIRO, Modélisation Math. Anal. Numér. 30, No.4, 467-488 (1996). ISSN 0764-583X

Summary: We consider the membrane shell equations of a linearly elastic shell, clamped along its entire boundary and whose middle surface is uniformly elliptic. The fact that an associated reduced problem is amenable to the classical Agmon-Douglis-Nirenberg theory allows us to prove a regularity result for the corresponding solution.
MSC 2000:
*74K15 Membranes
35Q72 Other PDE from mechanics

Keywords: uniformly elliptic middle surface; linearly elastic shell; Agmon-Douglis-Nirenberg theory

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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