Abstract
We study the constraint minimization problem related to the Gross–Pitaevskii functional with a higher order interaction where δ>0,a>0, and V is a continuous periodic potential. Thanks to the concentration‐compactness principle, we show the existence of minimizers for with and δ sufficiently small, where Q is the unique positive radial solution to The blow‐up behaviors of minimizers for as δ↘0 are described in details with an additional assumption on the external potential in the case a=a*.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
