Existence of sign-changing solutions for p(x)-Laplacian Kirchhoff type problem in RN

被引：2

作者：

Shen, Zifei ^{[1
]}

Shang, Bin ^{[1
]}

Qian, Chenyin ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2021年 / 73卷 / 01期

关键词：

p(x)-Laplacian; Kirchhoff type problem; least energy sign-changing solution; POSITIVE SOLUTIONS; EQUATIONS; MULTIPLICITY; SPACES;

D O I：

10.2969/jmsj/83258325

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The p(x)-Laplacian Kirchhoff type equation involving the nonlocal term b integral(RN)(1/p(x))vertical bar del u vertical bar(p(x))dx is investigated. Based on the variational methods, deformation lemma and other technique of analysis, it is proved that the problem possesses one least energy sign-changing solution u(b) which has precisely two nodal domains. Moreover, the convergence property of u(b) as the parameter b SE arrow 0 is also obtained.

引用

页码：161 / 183

页数：23

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