Guoqing Zhang, Ningning Song
Abstract:
In this article, we study the pseudo-relativistic Hartree equation
which describes the dynamics of pseudo-relativistic boson stars with
rest mass
m>0
in the mean-field limit.
Based on Ekeland variational principle, concentration-compactness
lemma and Gagliardo-Nirenberg inequality, we prove existence of travelling
solitary waves under the critical stellar mass.
In addition to their existence, we obtain orbital stability
by using a general idea presented in Cazenave and Lions [2].
Submitted July 3, 2018. Published May 28, 2019.
Math Subject Classifications: 35Q40, 35Q55, 47J35.
Key Words: Travelling solitary wave; boson star equation; critical stellar mass.
Show me the PDF file (355 KB), TEX file for this article.
![]() |
Guoqing Zhang College of Sciences University of Shanghai for Science and Technology Shanghai 200093, China email: shzhangguoqing@126.com |
---|---|
![]() |
Ningning Song College of Sciences University of Shanghai for Science and Technology Shanghai 200093, China email: 787661389@qq.com |
Return to the EJDE web page