Positive ground state solutions for a class of Schrödinger–Poisson systems with sign‐changing and vanishing potential |
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| Authors: | Hongliang Liu Haibo Chen Qizhen Xiao |
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| Institution: | 1. School of Mathematics and Physics, University of South China, Hengyang, China;2. School of Mathematics and Statistics, Central South University, Changsha, Hunan, China |
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| Abstract: | This paper deals with the following Schrödinger–Poisson systems ![]() where λ, ν are positive parameters and V(x) is sign‐changing and may vanish at infinity. Under some suitable assumptions, the existence of positive ground state solutions is obtained by using variational methods. Our main results unify and improve the recent ones in the literatures. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | Schrö dinger– Poisson system sign‐changing potential linking theorem positive ground state |
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