A duality theory for some non-convex functions of matrices
classification
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math.AP
keywords
functionsnon-convexnonlinearappearapplicationclassdualityeigenvalue
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We study a special class of non-convex functions which appear in nonlinear elasticity; and we prove that they have well-defined Legandre transforms. Several examples are given, and an application to a nonlinear eigenvalue problem
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