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- Lee, Youngae
- Nonlinear Analysis Lab.
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Infinitely many segregated vector solutions of Schrodinger system
- Author(s)
- Kwon, Ohsang, Lee, Min-Gi, Lee, Youngae
- Issued Date
- 2022-08
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.512, no.2, pp.126094
- Abstract
- We consider the following system of Schrodinger equations {-Delta U + lambda U = alpha U-0(3) + beta UV2 -Delta V + mu(y)V = alpha V-1(3) + beta(UV)-V-2 in R-N, N = 2, 3, where lambda, alpha(0), alpha(1)> 0 are positive constants, beta is an element of R is the coupling constant, and mu : R-N -> R is a potential function. Continuing the work of Lin and Peng [6], we present a solution of the type where one species has a peak at the origin and the other species has many peaks over a circle, but as seen in the above, coupling terms are nonlinear. (C) 2022 Elsevier Inc. All rights reserved.
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- ISSN
- 0022-247X
- Keyword (Author)
- Coupled Schrodinger system, Segregation, Vector solution, Distribution of bump, Energy expansion
- Keyword
- POSITIVE SOLUTIONS, EQUATIONS
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