Sign-changing solutions for some class of elliptic system

被引：0
作者：
Gan, Lu [1 ]
机构：
[1] Hubei Normal Univ, Sch Math & Stat, Huangshi, Hubei, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2021年 / 66卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Elliptic system; non-radial sign-changing solutions; Lyapunov-Schmidt reduction; SCHRODINGER-POISSON PROBLEM; POSITIVE SOLUTIONS; BOUND-STATES; EXISTENCE; EQUATIONS; MAXWELL; SPHERES; WAVES;
D O I：
10.1080/17476933.2020.1736052
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the existence of multiple non-radial sign-changing solutions for - Delta u + u + alpha K(vertical bar x vertical bar) Phi(x)u = vertical bar u vertical bar(p-2)u, x is an element of R-3, - Delta Phi = K(vertical bar x vertical bar)u(2), x is an element of R-3, where 2 < p < 6, alpha < 0 can be regarded as a parameter and K(r)(r = vertical bar x vertical bar) is a positive continuous function. We proved that the above equation possesses a non-radial sign-changing solutions with exactly k maximum points and k minimum points for suitable range of alpha.
引用
收藏
页码：676 / 688
页数：13
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