Qihan He, Shuangjie Peng
This article concerns the existence, characterization and number of ground states for the system consisting of m coupled semilinear equations
We extend the characterization results obtained by Correia [5,6] to the above problem. Also we give a new characterization of the ground states, which provides a more convenient way for finding or checking ground states. This study may be the first result not only positive ground states but also for semi-trivial ground states, and it shows that the positive ground state is unique for some special cases.
Submitted July 18, 2018. Published November 26, 2019.
Math Subject Classifications: 35B99, 35J47, 35J60.
Key Words: Coupled equations; ground states.
Show me the PDF file (393 KB), TEX file for this article.
| Qihan He |
College of Mathematics and Information Science
Nanning 530003, China
| Shuangjie Peng |
School of Mathematics and Statistics
Central China Normal University
Wuhan 430079, China
Return to the EJDE web page