Bilaplacian;
mixed-dispersion Schrodinger equation;
standing wave solutions;
multiple solutions;
positive mass case;
zero mass case;
radial and non-radial solutions;
SCALAR FIELD-EQUATIONS;
NONLINEAR SCHRODINGER-EQUATION;
4TH-ORDER ELLIPTIC-EQUATIONS;
NORMALIZED SOLUTIONS;
NONTRIVIAL SOLUTIONS;
ORDER DISPERSION;
EXISTENCE;
COMPACTNESS;
WAVES;
D O I:
10.1088/1361-6544/acb62d
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We study the following nonlinear Schrodinger equation with a fourth-order dispersion term?(2)u - beta?u = g(u) in R(N)in the positive and zero mass regimes: in the former, N >= 2 and beta > -2 root m, where m > 0 depends on g; in the latter, N >= 3 and beta > 0. In either regimes, we find an infinite sequence of solutions under rather generic assumptions about g; if N = 2 in the positive mass case, or N =4 in the zero mass case, we need to strengthen such assumptions. Our approach is variational.
机构:
Osaka Univ, Grad Sch Engn Sci, Dept Syst Innovat, Toyonaka, Osaka 5608531, Japan
Hokkaido Univ, Fac Sci, Dept Math, 10-8 Kita Ku, Sapporo 0600810, JapanOsaka Univ, Grad Sch Engn Sci, Dept Syst Innovat, Toyonaka, Osaka 5608531, Japan
Masaki, Satoshi
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h-index:
机构:
Murphy, Jason
Segata, Jun - ichi
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机构:
Kyushu Univ, Fac Math, Fukuoka 8190395, JapanOsaka Univ, Grad Sch Engn Sci, Dept Syst Innovat, Toyonaka, Osaka 5608531, Japan
机构:
Fujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Peoples R ChinaFujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Peoples R China
Tong, Zhi-Juan
Chen, Jianqing
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机构:
Fujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Peoples R ChinaFujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Peoples R China
Chen, Jianqing
Wang, Zhi-Qiang
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机构:
Fujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Peoples R China
Utah State Univ, Dept Math & Stat, Logan, UT 84322 USAFujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Peoples R China