Abstract
We obtain the classification of certain global bounded solutions for semilinear nonlocal equations of the type
where is a double-well potential.
Citation
Ovidiu Savin. "Rigidity of minimizers in nonlocal phase transitions." Anal. PDE 11 (8) 1881 - 1900, 2018. https://doi.org/10.2140/apde.2018.11.1881
Information
Received: 8 December 2016; Revised: 9 February 2018; Accepted: 9 April 2018; Published: 2018
First available in Project Euclid: 15 January 2019
zbMATH: 1391.35145
MathSciNet: MR3812860
Digital Object Identifier: 10.2140/apde.2018.11.1881
Subjects:
Primary:
35J61
Keywords:
De Giorgi conjecture
,
nonlocal phase transitions
Rights: Copyright © 2018 Mathematical Sciences Publishers