On standing waves with a vortex point of order N for the nonlinear Chern-Simons-Schrodinger equations

Cited 31 time in webofscience Cited 0 time in scopus
  • Hit : 512
  • Download : 0
In this paper, we are interested in standing waves with a vortex for the nonlinear Chem-Simons-Schrodinger equations (CSS for short). We study the existence and the nonexistence of standing waves when a constant lambda > 0, representing the strength of the interaction potential, varies. We prove every standing wave is trivial if lambda is an element of (0, 1), every standing wave is gauge equivalent to a solution of the first order self-dual system of CSS lambda = 1 and for every positive integer N, there is a nontrivial standing wave with a vortex point of order N if lambda > 1. We also provide some classes of interaction potentials under which the nonexistence of standing waves and the existence of a standing wave with a vortex point of order N are proved. (C) 2016 Elsevier Inc. All rights reserved
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2016-07
Language
English
Article Type
Article
Keywords

EXISTENCE; SEQUENCES

Citation

JOURNAL OF DIFFERENTIAL EQUATIONS, v.261, no.2, pp.1285 - 1316

ISSN
0022-0396
DOI
10.1016/j.jde.2016.04.004
URI
http://hdl.handle.net/10203/209823
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 31 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0