Geometric conditions for the positive definiteness of the second variation in one-dimensional problems

Given a functional for a one-dimensional physical system, a classical problem is to minimize it by finding stationary solutions and then checking the positive definiteness of the second variation. Establishing the positive definiteness is, in general, analytically untractable. However, we show here...

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Bibliographic Details
Main Authors: Lessinnes, T, Goriely, A
Format: Journal article
Published: IOP Publishing 2017