On the asymptotically cubic generalized quasilinear Schrodinger equations with a Kirchhoff-type perturbation

被引：0
|
作者：
Li, Guofa [1 ,2 ]
Qiu, Chong [3 ]
Cheng, Bitao [1 ,2 ]
Wang, Wenbo [4 ]
机构：
[1] Qujing Normal Univ, Dept Educ, Key Lab Analyt Math & Intelligent Comp Yunnan Prov, Qujing, Peoples R China
[2] Qujing Normal Univ, Coll Math & Stat, Qujing, Peoples R China
[3] Huaiyin Inst Technol, Fac Math & Phys, Huaian, Peoples R China
[4] Yunnan Univ, Dept Math & Stat, Kunming, Peoples R China
来源：
FRONTIERS IN PHYSICS | 2023年 / 11卷
基金：
中国国家自然科学基金;
关键词：
quasilinear Schrodinger equations; Kirchhoff-type perturbation; asymptotically cubic growth; non-existence; positive solutions; SOLITON-SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE;
D O I：
10.3389/fphy.2023.1185846
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider the non-existence and existence of solutions for a generalized quasilinear Schrodinger equation with a Kirchhoff-type perturbation. When the non-linearity h(u) shows critical or supercritical growth at infinity, the non-existence result for a quasilinear Schrodinger equation is proved via the Pohozaev identity. If h(u) shows asymptotically cubic growth at infinity, the existence of positive radial solutions for the quasilinear Schrodinger equation is obtained when b is large or equal to 0 and b is equal to 0 by the variational methods. Moreover, some properties are established as the parameter b tends to be 0.
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页数：6
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