On ground state solutions for some non-autonomous Schrödinger–Poisson systems

Juntao Sun,Haibo Chen,Juan J Nieto

doi:10.1016/j.jde.2011.12.007

On ground state solutions for some non-autonomous Schrödinger–Poisson systems

Juntao Sun, Haibo Chen + Show 1 more

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https://doi.org/10.1016/j.jde.2011.12.007

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Journal: Journal of Differential Equations	Publication Date: Dec 29, 2011
Citations: 99	License type: elsevier-specific: oa user license

Affiliation: King Abdulaziz University, Central South University, Shandong University of Technology

#Ground State Solutions For System #Existence Of Ground State Solutions + Show 7 more

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Abstract

In this paper, we study the Schrödinger–Poisson system ( SP) { − Δ u + u + K ( x ) ϕ ( x ) u = a ( x ) f ( u ) , in R 3 , − Δ ϕ = K ( x ) u 2 , in R 3 , and prove the existence of ground state solutions for system ( SP) under certain assumptions on the linear and nonlinear terms. Some recent results from different authors are extended.

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