A quantitative second order minimality criterion for cavities in elastic bodies

Details A quantitative second order minimality criterion for cavities in elastic bodies A quantitative second order minimality criterion for cavities in elastic bodies

2011-12-12

arxiv.org/abs/1112.2482v2

Mathematics

Analysis of PDEs

Scientific paper

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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