| 奇异扰动的p-Laplace方程非负非平凡解和正解的结构 |
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| 引用本文： | 张正策,李开泰. 奇异扰动的p-Laplace方程非负非平凡解和正解的结构[J]. 应用数学和力学, 2004, 25(8): 847-854 |
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| 作者姓名： | 张正策 李开泰 |
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| 作者单位： | 西安交通大学,理学院,西安,710049 |
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| 基金项目： | 国家重点基础研究专项基金资助项目(1999032801)，国家自然科学基金资助项目(10371095) |
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| 摘 要： | 精确地刻画了某些奇异扰动的p-Laplace方程非负非平凡解和正解的结构．利用上下解方法证明，方程存在很多非负非平凡的尖峰解和正的过渡尖峰解．当参数充分小时还对每个尖峰解支集的上下界进行了估计．
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| 关 键 词： | p-Laplace方程 非负非平凡解 正解 尖峰解 上下解 |
| 文章编号： | 1000-0887(2004)08-0847-08 |
| 修稿时间： | 2002-11-05 |
Structure of Nonnegative Nontrivial and Positive Solutions of Singularly Perturbed p-Laplace Equations |
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| ZHANG Zheng-ce,LI Kai-tai. Structure of Nonnegative Nontrivial and Positive Solutions of Singularly Perturbed p-Laplace Equations[J]. Applied Mathematics and Mechanics, 2004, 25(8): 847-854 |
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| Authors: | ZHANG Zheng-ce LI Kai-tai |
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| Abstract: | Structure of nonnegative nontrivial and positive solutions was precisely studied for some singularly perturbed p-Laplace equations. By virtue of sub- and supersolution method, it is shown that there are many nonnegative nontrivial spike-layer solutions and positive intermediate spike-layer solutions. Moreover, the upper and lower bound on the measure of each spike-layer were estimated when the parameter is sufficiently small. |
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| Keywords: | p-Laplace equation nonnegative nontrivial solution positive solution spike-layer solution sub- and supersolution |
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