拟线性方程Robin问题的内层和边界层解

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拟线性方程Robin问题的内层和边界层解韩祥临¹, 林万涛², 许永红³, 莫嘉琪⁴1. 湖州师范学院理学院, 湖州 313000;
2. 大气科学和地球流体力学数值模拟国家重点实验室, 中国科学院大气物理研究所, 北京 100029;
3. 蚌埠学院数理系, 蚌埠 233030;
4. 安徽师范大学数学系, 芜湖 241003 The Interior and Boundary Layers Solution of Robin Problem for Quasilinear Equations HAN Xianglin¹, LIN Wantao², XU Yonghong³, MO Jiaqi⁴1. Faculty of Science, Huzhou University, Huzhou 313000, China;
2. State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamic, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
2. Department of Mathematics & Physics, Bengbu College, Bengbu 233030, China;
3. Department of Mathematics, Anhui Normal University, Wuhu, Anhui 241003, China

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摘要本文讨论了一类拟线性方程Robin边值问题. 利用微分不等式理论，研究了边值问题内层和边界层解的存在性和渐近性态.

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收稿日期: 2010-06-03

PACS:

O175.14

基金资助:国家自然科学基金（41275062），浙江省自然科学基金（LY13A010005）和安徽省高校省级自然科学研究基金（KJ2014A151）资助项目.

引用本文:

韩祥临, 林万涛, 许永红, 莫嘉琪. 拟线性方程Robin问题的内层和边界层解[J]. 应用数学学报, 2016, 39(4): 531-536. HAN Xianglin, LIN Wantao, XU Yonghong, MO Jiaqi. The Interior and Boundary Layers Solution of Robin Problem for Quasilinear Equations. Acta Mathematicae Applicatae Sinica, 2016, 39(4): 531-536.

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