SIGN-CHANGING SOLUTIONS FOR THE STATIONARY KIRCHHOFF PROBLEMS INVOLVING THE FRACTIONAL LAPLACIAN IN R^N

作     者：Kun CHENG Qi GAO 程琨;高琦

作者机构：Department of Information Engineering Jingdezhen Ceramic Institute Department of Mathematics School of Science Wuhan University of Technology 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2018年第38卷第6期

页      面：1712-1730页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the NSFC(11501231) the "Fundamental Research Funds for the Central Universities"(WUT2017IVA077,2018IB014) 

主　　题：Kirchhoff equation fractional Laplaciau sign-changing solutions 

摘      要：In this paper, we study the existence of least energy sign-changing solutions for aKirchhoff-type problem involving the fractional Laplacian operator. By using the constraintvariation method and quantitative deformation lemma, we obtain a least energy nodal solu-tion ub for the given problem. Moreover, we show that the energy of ub is strictly larger thantwice the ground state energy. We also give a convergence property of ub as b O, where bis regarded as a positive parameter.