MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SCHRODINGER EQUATIONS WITH SATURABLE NONLINEARITY  

作　　者：Zhongyuan LIU 刘忠原(School of Mathematics and Statistics,Henan University,Kaifeng 475004,China)

机构地区：[1]School of Mathematics and Statistics,Henan University,Kaifeng 475004,China

出　　处：《Acta Mathematica Scientia》2021年第2期493-504,共12页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China(11971147);China Postdoctoral Science Foundation(2019M662475);Henan Postdoctoral Research Grant(201902026).

摘　　要：In this paper,we construct sign-changing radial solutions for a class of Schrodinger equations with saturable nonlinearity which arises from several models in mathematical physics.More precisely,for any given nonnegative integer k,by using a minimization argument,we first obtain a sign-changing minimizer with k nodes of a constrained minimization problem,and show,by a deformation lemma and Miranda's theorem,that the minimizer is the desired solution.

关 键 词：Sign-changing solutions saturable nonlinearity Nehari manifold variational methods 

分 类 号：O175[理学—数学]