Multiplicity for a 4-sublinear Schrödinger–Poisson system with sign-changing potential via Morse theory

Hongliang Liu; Haibo Chen; Gangwei Wang

doi:10.1016/j.crma.2015.10.018

Partial differential equations

Multiplicity for a 4-sublinear Schrödinger–Poisson system with sign-changing potential via Morse theory

Présenté par : the Editorial Board

Hongliang Liu ¹ ; Haibo Chen ¹ ; Gangwei Wang ^2,³

¹ School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, PR China
² Department of Mathematics, University of British Columbia, Vancouver V6T 1Z2, Canada
³ School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, PR China

Comptes Rendus. Mathématique, Volume 354 (2016) no. 1, pp. 75-80.

Résumé

In this paper, we study a 4-sublinear Schrödinger–Poisson system with sign-changing potential. Under some suitable assumptions, the existence of two nontrivial solutions are obtained by using the Morse theory. Our result improves the recent ones of Chen and Zhang (2014) [6].

Reçu le : 2014-10-25
Accepté le : 2015-10-23
Publié le : 2015-12-03

DOI : 10.1016/j.crma.2015.10.018

Mots clés : Schrödinger–Poisson system, Morse theory, Critical groups, Sign-changing potential

Affiliations des auteurs :

Hongliang Liu ¹ ; Haibo Chen ¹ ; Gangwei Wang ^{2, 3}

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     author = {Hongliang Liu and Haibo Chen and Gangwei Wang},
     title = {Multiplicity for a 4-sublinear {Schr\"odinger{\textendash}Poisson} system with sign-changing potential via {Morse} theory},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {75--80},
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     year = {2016},
     doi = {10.1016/j.crma.2015.10.018},
     language = {en},
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Hongliang Liu; Haibo Chen; Gangwei Wang. Multiplicity for a 4-sublinear Schrödinger–Poisson system with sign-changing potential via Morse theory. Comptes Rendus. Mathématique, Volume 354 (2016) no. 1, pp. 75-80. doi : 10.1016/j.crma.2015.10.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.10.018/

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Cité par Sources :

^☆ Research supported by Hunan Provincial Foundation For Postgraduate CX2014B044, National Natural Science Foundation of China 11271372 and Hunan Provincial Natural Science Foundation of China 12JJ2004.

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