Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Boundary value problems for degenerate von Kármán equations


Author: Robert G. Root
Journal: Quart. Appl. Math. 57 (1999), 1-17
MSC: Primary 74K20; Secondary 35Q72, 74B20, 74G20
DOI: https://doi.org/10.1090/qam/1672163
MathSciNet review: MR1672163
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Abstract: This article presents regularity results that admit a weak formulation for degenerate von Kármán boundary value problems modeling the deformation of clamped plates that lose stiffness in one direction. These boundary value problems are derived in the companion article, A Derivation of Degenerate von Kármán Equations for Strongly Anisotropic Plates, by the author. The equations are a fourth-order elliptic-parabolic system of weakly coupled nonlinear equations. The article includes the weak formulation and a brief description of the appropriate existence results for the formulation.


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DOI: https://doi.org/10.1090/qam/1672163
Article copyright: © Copyright 1999 American Mathematical Society


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