Affiliation:
1. School of Mathematical Sciences Capital Normal University, Beijing 100037, P.R. China
2. Department of Mathematics and Statistics Utah State University, Logan, Utah 84322, USA
Abstract
Abstract
This paper concerns existence and multiplicity of ground states and bound states of the time-independent Schrödinger system
where n = 2, 3, N ≥ 2, λj > 0 for j = 1, ... , N, βjj > 0 for j = 1, ... , N,
and βij = βji. In the attractive case we give sufficient condition for existence of co-existing ground states with large couplings, and in the repulsive case we prove existence of infinitely many co-existing bound state solutions with arbitrary couplings.
Subject
General Mathematics,Statistical and Nonlinear Physics
Reference2 articles.
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