A duality theory for some non-convex functions of matrices |
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| Authors: | Ivar Ekeland |
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| Institution: | (1) Canada Research Chair in Mathematical Economics, Pacific Institute of Mathematical Sciences, 1933 West Mall, University of British Columbia, Vancouver BC, Canada V6T 1Z2 |
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| Abstract: | Abstract We study a special class of non-convex functions which appear in nonlinear elasticity, and we prove that they have a well-defined
Legendre transform. Several examples are given, and an application to a nonlinear eigenvalue problem.
Keywords: Duality, Legendre transform, Nonlinear elasticity
Mathematics Subject Classification (2000): 05C38, 15A15, 05A15, 15A18 |
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