Of Nonlinear Schr (?) Dinger Equation The Ground State Of The Existence Of Solutions

Posted on:2010-04-29

Degree:Master

Type:Thesis

Country:China

Candidate:J Y Chang

Full Text:PDF

GTID:2190360275964781

Subject:Basic mathematics

Abstract/Summary:

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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 onλ₁ andλ₂ is given.

Keywords/Search Tags:

Schr(o|¨)dinger systems, nontrivial ground states

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