New results on the existence of ground state solutions for generalized quasilinear Schrödinger equations coupled with the Chern–Simons gauge theory

In this paper, we study the following quasilinear Schrödinger equation \begin{equation*} \begin{split} -\Delta u&+V(x)u-\kappa u\Delta(u^2)+\mu\frac{h^2(|x|)}{|x|^2}(1+\kappa u^2)u\\ &+\mu\left(\int_{|x|}^{+\infty}\frac{h(s)}{s}(2+\kappa u^2(s))u^2(s)\text{d}s\right)u=f(u)\quad\text{in}~\mat...

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Bibliographic Details
Main Authors: Yingying Xiao, Chuanxi Zhu
Format: Article
Language:English
Published: University of Szeged 2021-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9074