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

Date

2018-04-10

Authors

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

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this work, we study a class of Schrödinger-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.

Description

Keywords

Schrödinger-Newton system, Critical exponent, Singularity

Citation

Lei, C. Y., Suo, H. M., & Chu, C. M. (2018). Multiple positive solutions for a Schrödinger-Newton system with singularity and critical growth. <i>Electronic Journal of Differential Equations, 2018</i>(86), pp. 1-15.

Rights

Attribution 4.0 International

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