GROUND STATES FOR A FRACTIONAL REACTION-DIFFUSION SYSTEM

被引：4
|
作者：
Chen, Peng [1 ]
Cao, Zhijie [1 ]
Chen, Sitong [2 ]
Tang, Xianhua [2 ]
机构：
[1] China Three Gorges Univ, Coll Sci, Yichang 443002, Hubei, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 01期
关键词：
Reaction-diffusion system; ground states; strongly indefinite functional; HOMOCLINIC SOLUTIONS;
D O I：
10.11948/20200349
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the existence of the ground state of a strongly indefinite fractional reaction-diffusion system based on the Non-Nehari method established by Tang-Chen-Lin-Yu [J. Differ. Equ., 2020(268), 4663-4690]. In particular, neither any monotonicity condition nor any Ambrosetti-Rabinowitz growth condition is required. To our knowledge, this is the first result about the ground states with the strongly indefinite case for fractional reaction-diffusion system.
引用
收藏
页码：556 / 567
页数：12
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