Existence of solutions for a system of coupled nonlinear stationary bi-harmonic Schrodinger equations

Álvarez Caudevilla, Pablo; Colorado Heras, Eduardo; Galaktionov, Victor A.

Existence of solutions for a system of coupled nonlinear stationary bi-harmonic Schrodinger equations

Author(s): Álvarez Caudevilla, Pablo; Colorado Heras, Eduardo; Galaktionov, Victor A.

Publisher: Elsevier

Issued date: 2015-06-01

Citation: Nonlinear Analysis: Real World Applications, (2015), v. 23, pp.: 78-93.

ISSN: 1468-1218

DOI: https://doi.org/10.1016/j.nonrwa.2014.11.009

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)

Sponsor: The authors like to thank the anonymous Referee by his valuable suggestions, helpful comments which further improved the content and presentation of the paper. The first and third authors have been partially supported by the Ministry of Economy and Competitiveness of Spain under research project MTM2012-33258. The second author has been partially supported by the Ministry of Economy and Competitiveness of Spain and FEDER funds under research project MTM2013-44123-P.

Project: Gobierno de España. MTM2012-33258
Gobierno de España. MTM2013-44123-P

Keywords: Nonlinear bi-harmonic Schrodinger equations , Standing waves , Critical point theory

URI: http://hdl.handle.net/10016/35878

Rights: © 2014 Elsevier Ltd. All rights reserved.
Atribución-NoComercial-SinDerivadas 3.0 España

Abstract:

We obtain existence and multiplicity results for the solutions of a class of coupled semilinear bi-harmonic Schrodinger equations. Actually, using the classical Mountain Pass Theorem and minimization techniques, we prove the existence of critical points of the [+]

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