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Ground state solutions to logarithmic Choquard equations in R3
Authors:Lixi Wen  Xianhua Tang  Sitong Chen
Affiliation:School of Mathematics, Statistics, Central South University, Changsha, Hunan 410083, P.R. China
Abstract:In this paper, we prove the existence of nontrival solutions of mountain-pass type, least energy solutions and ground state solutions for logarithmic Choquard equation. Some new variational methods and techniques are used in the present paper and we extend and improve the present ones in the literature.
Keywords:ground state solution  least energy solution  logarithmic choquard equation  variational methods
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