MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SCHR(O)DINGER EQUATIONS WITH SATURABLE NONLINEARITY

• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（2）
• 页码范围: 493-504
• 页数: 12页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.02.013

摘要

In this paper,we construct sign-changing radial solutions for a class of Schr(o)dinger 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.