摘要
考虑如下的Schr(o|¨)dinger方程组:其中:λ_j,μ_j>0.j=1,2,(?)>0.n=2,3.
本文主要运用Morse理论来找上述方程组的完全非平凡径向基态解.当λ_1,λ_2给定了适当的限制后,我们给出了[Sirakov,Comm.Math.Phys,271(2007),199-221]中结果的改进.
Consider the following Schr(o|¨)dinger system:whoreλ_j,μ_j>0, j = 1.2.β>0. n = 2.3.
In this paper, we study the existence of nontrivial radial ground states of the upper system by the Morse theory. A result from [Sirakov. Comm. Math. Phys, 271(2007). 199-221] is improved when proper restraint onλ_1 andλ_2 is given.
引文
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