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1. Duality, triality and complementary extremum principles in non-convex parametric variational problems with applications.

Author

Gao, DY

Subjects
*DUALITY theory (Mathematics), *MATHEMATICAL transformations, *BOUNDARY value problems, *NONLINEAR differential equations
Abstract

Presents a duality theory and a nonlinear dual transformation method for solving a fully nonlinear, nonconvex parametric variational problem and associated nonlinear boundary-value problems. Associated partial differential equations; Proofs for complementary extremum principles in finite deformation theory; Method to obtain dual variational principles in n-dimensional problems.

Published
1998
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