Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation
classification
🧮 math.AP
keywords
energyallen-cahnboundsdimensionsgrowthloweroptimalprove
read the original 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 dimensions.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.