SIGN-CHANGING SOLUTIONS FOR THE STATIONARY KIRCHHOFF PROBLEMS INVOLVING THE FRACTIONAL LAPLACIAN IN RN

被引：0

作者：

程琨 ^{[1
]}

高琦 ^{[2
]}

机构：

[1] Department of Information Engineering, Jingdezhen Ceramic Institute

[2] Department of Mathematics, School of Science, Wuhan University of Technology

来源：

Acta Mathematica Scientia | 2018年 / 38卷 / 06期

关键词：

Kirchhoff equation; fractional Laplacian; sign-changing solutions;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of least energy sign-changing solutions for a Kirchhoff-type problem involving the fractional Laplacian operator. By using the constraint variation method and quantitative deformation lemma, we obtain a least energy nodal solution ubfor the given problem. Moreover, we show that the energy of ubis strictly larger than twice the ground state energy. We also give a convergence property of ubas b↘0, where b is regarded as a positive parameter.

引用

页码：1712 / 1730

页数：19

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