Mathematical Problems in Elastic Equilibrium with Finite Deformations |
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Authors: | Giuseppe Grioli Robert Gilbert |
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Institution: | Dipartimento di Matematica , Universita di Firenze , Italy |
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Abstract: | We consider functions such that their curves of steepest descent are straight lines. We prove that, along these curves, all principal curvatures of level surfaces of such functions satisfy a simple nonlinear ordinary differential equation. This result is used to get quantitative geometrical information on the level surfaces |
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Keywords: | 35B50 31A15 |
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