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Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation
Abstract
We prove optimal lower bounds for the growth of the energy over balls of minimizers to the vectorial Allen-Cahn energy in two spatial dimensions, as the radius tends to infinity. In the case of radially symmetric solutions, we can prove a stronger result in all dimensionsSimilar works
This paper was published in ACMAC.
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