Ground state solutions for the nonlinear Kirchhoff type equations with lower term

被引：3

作者：

Jia, Huifang ^{[1
,2
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

[2] Hong Kong Univ Sci & Technol, Dept Math, Hong Kong 00852, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 11期

关键词：

SCHRODINGER-EQUATIONS; POSITIVE SOLUTIONS; BOUND-STATES; EXISTENCE; WELL; MULTIPLICITY; BEHAVIOR;

D O I：

10.1063/5.0015454

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we consider the following nonlinear Kirchhoff type equations: -(a + b. R3 |.u|2).u +.V(x)u = |u|p-2u in R3, where a, b > 0,. = 1, V. C(R3, R) is a potential well and 3 < p < 6. Under suitable assumptions on V, the existence and concentrating behavior of solutions to a problem are obtained by using variational methods. We mainly extend the results about nonlinear Kirchhoff type equations with potential by Li and Ye [J. Differ. Equations 257(2), 566-600 (2014)] to the Kirchhoff type equations with sign-changing potential well.

引用

页数：17

共 34 条

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Alves C.O., 2001, COMMUN APPL NONLINEA, V8, P43

[2]

[Anonymous], 2001, Adv. Differ. Equ

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