Radial and non-radial multiple solutions to a general mixed dispersion NLS equation

被引：1
|
作者：
d'Avenia, Pietro [1 ]
Pomponio, Alessio [1 ]
Schino, Jacopo [2 ,3 ]
机构：
[1] Politecn Bari, Dipartimento Matemat Meccan & Management, Via Orabona 4, I-70125 Bari, Italy
[2] North Carolina State Univ, Dept Math, 2311 Stinson Dr, Raleigh, NC 27607 USA
[3] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland
来源：
NONLINEARITY | 2023年 / 36卷 / 03期
关键词：
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.
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页码：1743 / 1775
页数：33
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