| 具有BMO系数的拟线性椭圆方程解的BMO估计 |
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| 引用本文： | 田巧玉,张生智,徐永琳,慕嘉.具有BMO系数的拟线性椭圆方程解的BMO估计[J].数学研究及应用,2016,36(6):673-681. |
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| 作者姓名： | 田巧玉 张生智 徐永琳 慕嘉 |
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| 作者单位： | 西北民族大学数学与计算机科学学院, 甘肃 兰州 730030,甘肃民族师范学院数学系, 甘肃 合作 747000,西北民族大学数学与计算机科学学院, 甘肃 兰州 730030,西北民族大学数学与计算机科学学院, 甘肃 兰州 730030 |
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| 基金项目： | 国家自然科学基金(Grant No.11401473), 中央高校基本科研业务费专项资金(Grant No.31920160059), 甘肃省自然科学基金 (Grant Nos.1506RJYA272; 1506RJZA274), 教育部人文社会科学研究项目(Grant No.15YJA880085), 国家民委科研项目(Grant No.14XBZ016), 西北民族大学科研创新团队. |
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| 摘 要： | We establish a global limiting case of nonlinear Calderon-Zygmund theory to quasilinear elliptic equations div A(x,Du) = div(|F|~(p-2)F) under the BMO smallness of the nonlinearity,that is |F|~(p-2)F∈BMO implies that Du ∈BMO.
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| 关 键 词： | Calder\''{o}n-Zygmund理论 拟线性椭圆方程 BMO空间 |
| 收稿时间： | 2016/3/19 0:00:00 |
| 修稿时间： | 7/6/2016 12:00:00 AM |
BMO Estimates for Quasilinear Elliptic Equations with BMO Coefficients |
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| Qiaoyu TIAN,Shengzhi ZHANG,Yonglin XU and Jia MU.BMO Estimates for Quasilinear Elliptic Equations with BMO Coefficients[J].Journal of Mathematical Research with Applications,2016,36(6):673-681. |
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| Authors: | Qiaoyu TIAN Shengzhi ZHANG Yonglin XU and Jia MU |
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| Institution: | School of Mathematics and Computer Science, Northwest University for Nationalities, Gansu 730030, P. R. China,Department of Mathematics, Gansu Normal University for Nationalities, Gansu 747000, P. R. China,School of Mathematics and Computer Science, Northwest University for Nationalities, Gansu 730030, P. R. China and School of Mathematics and Computer Science, Northwest University for Nationalities, Gansu 730030, P. R. China |
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| Abstract: | We establish a global limiting case of nonlinear Calder\''{o}n-Zygmund theory to quasilinear elliptic equations ${\rm div}\,\mathcal {A}(x,D u)={\rm div}(|F|^{p-2}F)$ under the BMO smallness of the nonlinearity, that is $|F|^{p-2}F\in {\rm BMO}$ implies that $Du\in {\rm BMO}$. |
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| Keywords: | Calder\''{o}n-Zygmund theory Quasilinear elliptic equations BMO space |
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