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arXiv · 1112.2482

A quantitative second order minimality criterion for cavities in elastic bodies

Giuseppe Maria Capriani·Vesa Julin·Giovanni Pisante
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Abstract

We consider a functional which models an elastic body with a cavity. We show that if a critical point has positive second variation then it is a strict local minimizer. We also provide a quantitative estimate.

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Giuseppe Maria Capriani, Vesa Julin, Giovanni Pisante. 2013-04-04. A quantitative second order minimality criterion for cavities in elastic bodies. https://arxiv.org/abs/1112.2482

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