Optimal potential energy growth lower bounds for minimizing solutions to the vectorial Allen–Cahn equation in two space dimensions

Publisher： John Wiley & Sons Inc

E-ISSN： 1099-1476|41|3|966-972

ISSN： 0170-4214

Source： MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Vol.41, Iss.3, 2018-02, pp. : 966-972

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Abstract

We prove optimal lower bounds for the growth of the potential energy over balls of minimizers to the vectorial Allen–Cahn energy in two spatial dimensions, as the radius tends to infinity. Copyright © 2016 John Wiley Sons, Ltd.

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