Normalized ground state solutions of Schrodinger-KdV system in R3

被引：0

作者：

Gao, Qian ^{[1
]}

Wang, Qun ^{[1
]}

Chang, Xiaojun ^{[2
,3
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[3] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2024年 / 75卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Normalized solutions; Variational methods; L-2-supercritical growth; Schrodinger-KdV System; ORBITAL STABILITY; STANDING WAVES; SOLITARY WAVES; EXISTENCE; EQUATIONS;

D O I：

10.1007/s00033-024-02330-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the coupled Schrodinger-KdV system -Delta u + lambda(1)u = u(3) + beta uv in R-3, -Delta v + lambda(2)v = 1/2v(2) + 1/2 beta u(2) in R-3 subject to the mass constraints integral(R3)vertical bar u vertical bar(2) dx=a, integral(R3)vertical bar v vertical bar(2) dx=b, where a, b > 0 are given constants, beta > 0 , and the frequencies lambda(1), lambda(2) arise as Lagrange multipliers. The system exhibits L-2-supercritical growth. Using a novel constraint minimization approach, we demonstrate the existence of a local minimumsolution to the system. Furthermore, we establish the existence of normalized ground state solutions.

引用

页数：17

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