Calculus of Variations and Geometric Measure Theory

G. M. Capriani - V. Julin - G. Pisante

A quantitative second order minimality criterion for cavities in elastic bodies

created by capriani on 12 Dec 2011
modified on 04 Apr 2013


Accepted Paper

Inserted: 12 dec 2011
Last Updated: 4 apr 2013

Journal: SIAM J. Math. Anal.
Year: 2013


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.