Normalized solutions for critical growth Schriodinger equations with nonautonomous perturbation

被引：1
|
作者：
Fan, Song [1 ]
Long, Chun-Fei [1 ]
Xu, Qin [1 ]
Li, Gui-Dong [1 ]
机构：
[1] Guizhou Univ, Sch Math & Stat, Guiyang 550025, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 149卷
基金：
中国国家自然科学基金;
关键词：
Normalized solutions; Schrodinger equation; Sobolev critical growth; Nonautonomous perturbation; POSITIVE SOLUTIONS; EXISTENCE;
D O I：
10.1016/j.aml.2023.108936
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is dedicated to investigating the existence of solutions characterized by a predefined L2-norm in the context of the nonlinear Sobolev critical Schrodinger equation{ -Delta(u)+ lambda u = | u|(2)*-2u+ V(x)dudp-2u,in R-N, fRN u2dx = a2, u is an element of H1(RN). Here, N > 3, a > 0 and 2 < p < 2*, where 2*=N2N-2 represents the critical Sobolev exponent. It is worth noting that the parameter A functions as a Lagrange multiplier within this framework.
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页数：6
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