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

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

Hongliang Liu, Haibo Chen + Show 1 more

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https://doi.org/10.1016/j.crma.2015.10.018

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Journal: Comptes Rendus. Mathématique	Publication Date: Dec 3, 2015
Citations: 10	License type: publisher-specific-oa

Affiliation: Central South University, University of British Columbia, Beijing Institute of Technology

#Sign-changing Potential #Poisson System + Show 2 more

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Abstract

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].

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