Normalized solutions of quasilinear Schr?dinger equations with saturable nonlinearity

被引：3

作者：

Zhang, Yu ^{[1
]}

Sun, Juntao ^{[1
]}

机构：

[1] Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 138卷

基金：

中国国家自然科学基金;

关键词：

Quasilinear Schr?dinger equation; Normalized solutions; Saturable nonlinearity;

D O I：

10.1016/j.aml.2022.108531

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate normalized solutions to quasilinear Schrodinger equations with saturable nonlinearity: {- increment u - u increment (u2) + lambda u = mu g(x)+u2 integral 1+g(x)+u2 u in RN, RN u2dx = c > 0, where N >= 2, lambda is an element of R, mu > 0, and g is a bounded function in RN. We prove the existence of normalized solutions for the above problem by means of variational methods.(c) 2022 Published by Elsevier Ltd.

引用

页数：7

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