Nodal solutions for pseudo-relativistic Hartree equations

被引：1
|
作者：
Huang, Zhihua [1 ]
Yang, Jianfu [2 ]
Yu, Weilin [3 ]
机构：
[1] Guangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R China
[2] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China
[3] Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 493卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Hartree equations; Nodal solutions; Extension method; Constrained problem; FRACTIONAL LAPLACIAN; ELLIPTIC PROBLEM; GROUND-STATES; EXISTENCE;
D O I：
10.1016/j.jmaa.2020.124474
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of nodal solutions for the following problem (P-0) (-Delta + m(2))(alpha) u = (vertical bar x vertical bar(-mu) *vertical bar u vertical bar(p))vertical bar u|vertical bar(p-2)u, in R-N, where 1/2 < alpha < 1, 0 < mu <= 2 and 2N-mu/n-1 < p < 2N-mu/N-2 alpha . We show that for any positive integer k, problem (P-0) possesses a radially symmetrical solution changing sign exactly k-times. (c) 2020 Elsevier Inc. All rights reserved.
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页数：18
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