| Standing Waves for Discrete Nonlinear Schrodinger Equations with Nonperiodic Bounded Potentials |
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| 引用本文： | Tie-shan HE,Meng ZHANG,Kai-hao LIANG,Peng-fei GUO. Standing Waves for Discrete Nonlinear Schrodinger Equations with Nonperiodic Bounded Potentials[J]. 应用数学学报(英文版), 2019, 35(2): 374-385. DOI: 10.1007/s10255-018-0787-1 |
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| 作者姓名： | Tie-shan HE Meng ZHANG Kai-hao LIANG Peng-fei GUO |
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| 作者单位： | College of Computation Science |
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| 基金项目： | Supported by Science and technology plan foundation of Guangzhou(No.201607010218);by Public Research&Capacity-Building Project of Guangdong(No.2015A070704059). |
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| 摘 要： | In this paper, we investigate standing waves in discrete nonlinear Schr?dinger equations with nonperiodic bounded potentials. By using the critical point theory and the spectral theory of self-adjoint operators, we prove the existence and infinitely many sign-changing solutions of the equation. The results on the exponential decay of standing waves are also provided.
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| 关 键 词： | Discrete nonlinear Schrodinger equation Standing wave Nonperiodic bounded potential Sign-changing solution Critical point theory |
Standing Waves for Discrete Nonlinear Schrödinger Equations with Nonperiodic Bounded Potentials |
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| He,Tie-shan,Zhang, Meng,Liang, Kai-hao,Guo, Peng-fei. Standing Waves for Discrete Nonlinear Schrödinger Equations with Nonperiodic Bounded Potentials[J]. Acta Mathematicae Applicatae Sinica, 2019, 35(2): 374-385. DOI: 10.1007/s10255-018-0787-1 |
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| Authors: | He Tie-shan Zhang Meng Liang Kai-hao Guo Peng-fei |
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| Affiliation: | 1.College of Computation Science, Zhongkai University of Agriculture and Engineering, Guangzhou, 510225, China
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| Abstract: | Acta Mathematicae Applicatae Sinica, English Series - In this paper, we investigate standing waves in discrete nonlinear Schrödinger equations with nonperiodic bounded potentials. By using the... |
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