Nonrelativistic limit of standing waves for pseudo-relativistic nonlinear Schrodinger equations

作者:Choi Woocheol*; Seok Jinmyoung*
来源:Journal of Mathematical Physics, 2016, 57(2): 021510.
DOI:10.1063/1.4941037

摘要

In this paper, we study standing waves for pseudo-relativistic nonlinear Schrodinger equations. In the first part, we find ground state solutions. We also prove that they have one sign and are radially symmetric. The second part is devoted to take nonrelativistic limit of the ground state solutions in H-1 (Rn) space.

  • 出版日期2016-2