Multiwell rigidity in nonlinear elasticity
Milena Chermisi and Sergio ContiWe derive a quantitative rigidity estimate for a multiwell problem in nonlinear elasticity. Precisely, we show that if a gradient field is -close to a set of the form , and an appropriate bound on the length of the interfaces holds, then the gradient field is actually close to only one of the wells . The estimate holds for any connected subdomain, and has the optimal scaling.
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Published in: SIAM J. Math. Analysis 42, pp. 1986-2012, 2010.