Vol. 11, No. 8, 2018

Download this article
Download this article For screen
For printing
Recent Issues

Volume 13
Issue 3, 627–944
Issue 2, 317–625
Issue 1, 1–316

Volume 12, 8 issues

Volume 11, 8 issues

Volume 10, 8 issues

Volume 9, 8 issues

Volume 8, 8 issues

Volume 7, 8 issues

Volume 6, 8 issues

Volume 5, 5 issues

Volume 4, 5 issues

Volume 3, 4 issues

Volume 2, 3 issues

Volume 1, 3 issues

The Journal
About the Journal
Editorial Board
Subscriptions
Editors’ Interests
Scientific Advantages
Submission Guidelines
Submission Form
Editorial Login
Ethics Statement
ISSN: 1948-206X (e-only)
ISSN: 2157-5045 (print)
Author Index
To Appear
 
Other MSP Journals
Rigidity of minimizers in nonlocal phase transitions

Ovidiu Savin

Vol. 11 (2018), No. 8, 1881–1900
DOI: 10.2140/apde.2018.11.1881
Abstract

We obtain the classification of certain global bounded solutions for semilinear nonlocal equations of the type

su = W(u) in n, with s (1 2,1),

where W is a double-well potential.

Keywords
nonlocal phase transitions, De Giorgi conjecture
Mathematical Subject Classification 2010
Primary: 35J61
Milestones
Received: 8 December 2016
Revised: 9 February 2018
Accepted: 9 April 2018
Published: 6 June 2018
Authors
Ovidiu Savin
Department of Mathematics
Columbia University
New York, NY
United States