Electron. J. Differential Equations, Vol. 2018 (2018), No. 86, pp. 1-15.

Multiple positive solutions for a Schrodinger-Newton system with singularity and critical growth

Chun-Yu Lei, Hong-Min Suo, Chang-Mu Chu

Abstract:
In this work, we study a class of Schrodinger-Newton systems with singular and critical growth terms in unbounded domains. By using the variational methods and the Brezis-Lieb [6] classical technique, the existence and multiplicity of positive solutions are established.

Submitted January 16, 2018. Published April 10, 2018.
Math Subject Classifications: 35J60, 35J75, 35J30
Key Words: Schrodinger-Newton system; critical exponent; singularity.

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Chun-Yu Lei
School of Sciences
Guizhou Minzu University
Guiyang 550025, China
email: leichygzu@sina.cn
Hong-Min Suo
School of Sciences
Guizhou Minzu University
Guiyang 550025, China
email: 11394861@qq.com
Chang-Mu Chu
School of Sciences
Guizhou Minzu University
Guiyang 550025, China
email: 372382190@qq.com

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