Existence and symmetry of positive ground states for a doubly critical Schrodinger system
Existence and symmetry of positive ground states for a doubly critical Schrodinger system
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DOI：
10.1090/s0002-9947-2014-06237-5
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发表时间：
2012-11
影响因子：
1.3
通讯作者：
Zhijie Chen;Wenming Zou
中科院分区：
文献类型：
--
作者：
Zhijie Chen;Wenming Zou
N N−2 and α > 1,β > 1 satisfying α+β = 2 ∗ . This problem is related to coupled nonlinear Schrodinger equations with critical exponent for Bose-Einstein condensate. For different ranges of N, α, β and ν > 0, we obtain positive ground state solutions via some quite different methods, which are all radially symmetric. It turns out that the least energy level depends heavily on the relations among α, β and 2. Besides, for sufficiently smallν > 0, positive solutions are also obtained via a variational perturbation approach. Note that the Palais-Smale condition can not hold for any positive energy level, which makes the study via variational methods rather complicated.
