文献类型：期刊文献

英文题名：Ground state solutions for a generalized quasilinear Choquard equation

作者：Zhang, Jing[1];Ji, Chao[2]

机构：[1]Inner Mongolia Normal Univ, Math Sci Coll, Hohhot 010022, Peoples R China;[2]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2021

卷号：44

期号：7

起止页码：6048

外文期刊名：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录：;EI(收录号：20210609899584);WOS:【SCI-EXPANDED(收录号:WOS:000614785300001)】；

基金：Inner Mongolia Autonomous Region university scientific research project, Grant/Award Number: NJZY18021; Natural Science Foundation of Shanghai, Grant/Award Number: 20ZR1413900 and 18ZR1409100; Natural Science Foundation of Inner Mongolia Autonomous Region, Grant/Award Number: 2019MS01004; National Natural Science Foundation of China, Grant/Award Number: 11962025

语种：英文

外文关键词：ground state solutions; quasilinear choquard equation; variational methods

摘要：This paper is concerned with the following quasilinear Choquard equation: -Delta u + V(x)u - u Delta(u(2)) = (I-alpha* G(u))g(u),x is an element of R-N, where N >= 3, 0 < alpha < N, V: R-N -> R is radial potential, G(t) = integral(t)(0)g(s)ds, and I-alpha is a Riesz potential. Using the variational method we establish the existence of ground state solutions under appropriate assumptions, that is, nontrivial solution with least possible energy.