| Born-Infeld理论中的多项式函数模型（英文） |
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| 引用本文： | 代兵兵,张瑞凤.Born-Infeld理论中的多项式函数模型（英文）[J].数学季刊,2022(3):221-236. |
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| 作者姓名： | 代兵兵 张瑞凤 |
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| 作者单位： | School of Mathematics and Statistics, Henan University |
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| 基金项目： | Supported by National Natural Science Foundation of He’nan Province of China (Grant No. 222300420416)；;National Natural Science Foundation of China (Grant Nos. 11471099, 11971148)； |
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| 摘 要： | Based on the Lagrangian action density under Born-Infeld type dynamics and motivated by the one-dimensional prescribed mean curvature equation, we investigate the polynomial function model in Born-Infeld theory in this paper with the form of-(1-a(φ)2]φ) = λf(φ(x)),where λ > 0 is a real parameter, f ∈ C2(0, +∞) is a nonlinear function. We are interested in the exact number of positive solutions of the above nonlinear equation. We specifically develop for the problem combined with a...
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