Infinitely Many Standing Waves for the Nonlinear Chern-Simons-Schrödinger Equations

We prove the existence of infinitely many solutions of the nonlinear Chern-Simons-Schrödinger equations under a wide class of nonlinearities. This class includes the standard power-type nonlinearity with exponent p>4. This extends the previous result which covers the exponent p>6.

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Main Author: Jinmyoung Seok
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/519374
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author Jinmyoung Seok
author_facet Jinmyoung Seok
author_sort Jinmyoung Seok
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description We prove the existence of infinitely many solutions of the nonlinear Chern-Simons-Schrödinger equations under a wide class of nonlinearities. This class includes the standard power-type nonlinearity with exponent p>4. This extends the previous result which covers the exponent p>6.
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institution Kabale University
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spelling doaj-art-0b0f28ed491943d28b14367d9baabe342025-02-03T06:43:54ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/519374519374Infinitely Many Standing Waves for the Nonlinear Chern-Simons-Schrödinger EquationsJinmyoung Seok0Department of Mathematics, Kyonggi University, 154-42 Gwanggyosan-ro, Yeongtong-gu, Suwon 443-760, Republic of KoreaWe prove the existence of infinitely many solutions of the nonlinear Chern-Simons-Schrödinger equations under a wide class of nonlinearities. This class includes the standard power-type nonlinearity with exponent p>4. This extends the previous result which covers the exponent p>6.http://dx.doi.org/10.1155/2015/519374
spellingShingle Jinmyoung Seok
Infinitely Many Standing Waves for the Nonlinear Chern-Simons-Schrödinger Equations
Advances in Mathematical Physics
title Infinitely Many Standing Waves for the Nonlinear Chern-Simons-Schrödinger Equations
title_full Infinitely Many Standing Waves for the Nonlinear Chern-Simons-Schrödinger Equations
title_fullStr Infinitely Many Standing Waves for the Nonlinear Chern-Simons-Schrödinger Equations
title_full_unstemmed Infinitely Many Standing Waves for the Nonlinear Chern-Simons-Schrödinger Equations
title_short Infinitely Many Standing Waves for the Nonlinear Chern-Simons-Schrödinger Equations
title_sort infinitely many standing waves for the nonlinear chern simons schrodinger equations
url http://dx.doi.org/10.1155/2015/519374
work_keys_str_mv AT jinmyoungseok infinitelymanystandingwavesforthenonlinearchernsimonsschrodingerequations