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
收藏
页码：1712 / 1730
页数：19
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