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 | References | Similar Articles | Additional Information

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