A Liouville theorem for minimizers with finite potential energy for the vectorial Allen-Cahn equation

Abstract

We prove that if a globally minimizing solution to the vectorial Allen-Cahn equation has finite potential energy, then it is a constant

Similar works

This paper was published in ACMAC.

Having an issue?

Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.