On ground state solutions for some non-autonomous Schrodinger-Poisson systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:252

Article

Sun, Juntao^1,2  Chen, Haibo¹  Nieto, Juan J.^3,4 

[1] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China

[2] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China

[3] Univ Santiago de Compostela, Dept Anal Matemat, Santiago De Compostela 15782, Spain

[4] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

关键词: Non-autonomous Schrodinger-Poisson system;    Ground state;    Lack of compactness;    Asymptotically linear;    Variational methods;   

DOI  :  10.1016/j.jde.2011.12.007

来源: Elsevier

【 摘 要 】

In this paper, we study the Schrodinger-Poisson system {-Delta u + u + K(chi)phi(chi)u = a(chi) f(u), in R-3 (SP) -Delta phi = K(chi)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. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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