Normalized solutions to the planar Schrodinger-Poisson systems with square-root nonlinearity

被引：2
|
作者：
Wang, Chao [1 ]
Sun, Juntao [1 ]
机构：
[1] Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 131卷
基金：
中国国家自然科学基金;
关键词：
Schrodinger-Poisson systems; Square-root nonlinearity; Normalized solutions; Logarithmic convolution kernel; Variational methods;
D O I：
10.1016/j.aml.2022.108078
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate normalized solutions to the planar Schrodinger-Poisson systems with square-root nonlinearity {-Delta u +lambda u + 1/2 Pi (log | center dot | * |u|(2)) u = ( 1 - 1/root 1+u(2)) u in R-2, integral (2)(R) |u|(2) dx = c, where lambda is an element of R appears as a Lagrange parameter and c > 0 is a given real number. We prove the existence of normalized solutions by establishing a new estimate on the square-root nonlinearity. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：6
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