Construct new type solutions for the fractional Schrodinger equation

被引：0
|
作者：
Lin, Yuan [1 ]
Liu, Weiming [1 ]
机构：
[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2021年 / 2021卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Fractional Schrodinger equation; Lyapunov-Schmidt reduction method; New type solutions; GROUND-STATE SOLUTIONS; SYSTEM;
D O I：
10.1186/s13661-021-01534-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to studying the following nonlinear fractional problem: {(-Delta)(s)u + u = K(|x|)u(p), u > 0, x is an element of R-N, (0.1) u(x) is an element of H-s(R-N), where N >= 3, 0 < s < 1, 1 < p < N+2s/N-2s, K(|x|) is a positive radical function. We constructed infinitely many non-radial solutions of the new type which have a more complex concentration structure for (0.1).
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页数：20
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