On the extreme variational principles for nonlinear elastic plates

Gao, Yang

doi:10.1090/qam/1052141

Author: Yang Gao
Journal: Quart. Appl. Math. 48 (1990), 361-370
MSC: Primary 73V25; Secondary 73C50, 73G05, 73K10
DOI: https://doi.org/10.1090/qam/1052141
MathSciNet review: MR1052141
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Abstract: The min-maximum variational principles for Von Karman plates are formulated by using the theory of convex analysis. It is shown that the global extremum criteria for both the total potential and complementary variational functional is directly related to a so-called dual gap function. The existence and uniqueness of the variational solutions are proved. And the saddle point condition of the generalized variational principle is also discussed.

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