@Article{ATA-35-1,
author = {O. Savin},
title = {Rigidity of Minimizers in Nonlocal Phase Transitions II},
journal = {Analysis in Theory and Applications},
year = {2019},
volume = {35},
number = {1},
pages = {1--27},
abstract = {In this paper we extend the results of [12] to the borderline case $s = \frac 12$. We obtain the classification of global bounded solutions with asymptotically flat level sets for semilinear nonlocal equations of the type $$\Delta ^{\frac 12} u=W'(u) \quad \mbox{in}\quad \mathbb{R}^n,$$where $W$ is a double well potential.

},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-0008},
url = {http://global-sci.org/intro/article_detail/ata/13090.html}
}