POSITIVE GROUND STATE SOLUTIONS FOR A QUASILINEAR SCHRODINGER EQUATION  

拟线性薛定谔方程的正基态解

作　　者：JIN Qing-fei 金庆飞(江汉大学人工智能学院,湖北武汉430056)

机构地区：[1]School of Artificial Intelligence,Jianghan University,Wuhan 430056,China

出　　处：《数学杂志》2025年第2期95-110,共16页Journal of Mathematics

基　　金：Supported by Research Start-up Fund of Jianghan University(06050001).

摘　　要：This paper is concerned with the positive ground state solutions for a quasilinear Schrodinger equation with a Hardy-type term.We obtain positive ground state solutions for the given quasilinear Schrodinger equation by using a change of variables and variational method.本文研究一类含hardy型项的拟线性薛定谔方程的正基态解.利用变分法和变量代换法,得到了给定拟线性薛定谔方程的正基态解.

关 键 词：Quasilinear equation schrodinger equation positive ground state solutions variational methods 

分 类 号：O186.1[理学—数学]