Comptes Rendus
no. 1
Partial differential equations
Multiplicity for a 4-sublinear Schrödinger–Poisson system with sign-changing potential via Morse theory

Presented by: the Editorial Board

Hongliang Liu1; Haibo Chen1; Gangwei Wang2, 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.

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].

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2015.10.018
Mots-clés : Schrödinger–Poisson system, Morse theory, Critical groups, Sign-changing potential

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 
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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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☆ 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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