| MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SCHR?DINGER EQUATIONS WITH SATURABLE NONLINEARITY |
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| 引用本文： | 刘忠原. MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SCHR?DINGER EQUATIONS WITH SATURABLE NONLINEARITY[J]. 数学物理学报(B辑英文版), 2021, 0(2): 493-504 |
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| 作者姓名： | 刘忠原 |
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| 作者单位： | School of Mathematics and Statistics |
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| 基金项目： | supported by National Natural Science Foundation of China(11971147);China Postdoctoral Science Foundation(2019M662475);Henan Postdoctoral Research Grant(201902026). |
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| 摘 要： | In this paper, we construct sign-changing radial solutions for a class of Schr?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.
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| 关 键 词： | Sign-changing solutions saturable nonlinearity Nehari manifold variational methods |
MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SCHRODINGER EQUATIONS WITH SATURABLE NONLINEARITY |
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| Zhongyuan LIU. MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SCHRODINGER EQUATIONS WITH SATURABLE NONLINEARITY[J]. Acta Mathematica Scientia, 2021, 0(2): 493-504 |
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| Authors: | Zhongyuan LIU |
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| Affiliation: | (School of Mathematics and Statistics,Henan University,Kaifeng 475004,China) |
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| Abstract: | 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... |
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