Multiplicity of sign-changing solutions for a supercritical nonlinear Schrodinger equation

被引：6
作者：
Nie, Jianjun [1 ]
Li, Quanqing [2 ]
机构：
[1] North China Elect Power Univ, Sch Math & Phys, Beijing, Peoples R China
[2] Honghe Univ, Dept Math, Mengzi, Yunnan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 109卷 / 109期
基金：
中国国家自然科学基金;
关键词：
Schrodinger equation; Supercritical nonlinear; Sign-changing solution; NODAL SOLUTIONS; STATES;
D O I：
10.1016/j.aml.2020.106569
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the following supercritical nonlinear Schrodinger equation: - Delta u + lambda V(x)u = P(x)vertical bar u vertical bar(p-2)u + mu vertical bar u vertical bar(q-2)u, in R-N, (0.1) where mu > 0, N >= 3, 2 < q < 2* <= p (2* = 2N/N-2), V (x) >= 0, P(x) >= 0 is a bounded function. By using variational method and truncation method, we prove that (0.1) has at least k pairs of sign-changing solutions for large lambda. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：7
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