Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415248 | Journal of Functional Analysis | 2013 | 37 Pages |
Abstract
For all n⩾1, we are interested in bounded solutions of the Allen-Cahn equation Îu+uâu3=0 which are defined in all Rn+1 and whose zero set is asymptotic to a given minimal cone. In particular, in dimension n+1⩾8, we prove the existence of stable solutions of the Allen-Cahn equation whose zero sets are not hyperplanes.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Frank Pacard, Juncheng Wei,