Note on ground states of a nonlinear Schrödinger system
نویسندگان
چکیده
منابع مشابه
Ground States and Bound States of a Nonlinear Schrödinger System
This paper concerns existence and multiplicity of ground states and bound states of the time-independent Schrödinger system −∆uj + λjuj = N ∑ i=1 βiju 2 i uj in R, uj(x) → 0 as |x| → ∞, j = 1, . . . , N, 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 groun...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2011
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2011.02.043