退化拟线性椭圆方程的均匀化

数学物理学报 ›› 2017, Vol. 37 ›› Issue (5): 860-868.

退化拟线性椭圆方程的均匀化

赵磊娜

重庆交通大学数学与统计学院重庆 400074

收稿日期:2016-12-13 修回日期:2017-05-11 出版日期:2017-10-26 发布日期:2017-10-26
作者简介:赵磊娜,E-mail:zhao_leina@163.com
基金资助:
重庆市教委科学技术研究项目（KJ1705136）

Homogenization of Degenerate Quasilinear Elliptic Equations

Zhao Leina

College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074

Received:2016-12-13 Revised:2017-05-11 Online:2017-10-26 Published:2017-10-26
Supported by:
Supported by the Science and Technology Research Program of Chongqing Municipal Education Commission (KJ1705136)

摘要/Abstract

摘要： 该文获得了下列退化椭圆方程的均匀化结果
-div a（x/ε，u，▽ u）+g（x/ε，u）=f（x），
其中a（y，α，λ）和g（y，α）是变量y的周期函数.

关键词: 退化椭圆方程, 可解性, 均匀化, 补偿紧性, 权Sobolev空间

Abstract: In this paper, the homogenization of degeneration quasilinear elliptic equations
-div a(x/ε,u,▽ u)+g(x/ε,u)=f(x),
are studied, where a(y, α, λ) and g(y, α) is periodic in y.

Key words: Degenerate elliptic equations, Solvability, Homogenization, Compensated compactness, Weighted Sobolev space

中图分类号:

O175.23

赵磊娜. 退化拟线性椭圆方程的均匀化[J]. 数学物理学报, 2017, 37(5): 860-868.

Zhao Leina. Homogenization of Degenerate Quasilinear Elliptic Equations[J]. Acta mathematica scientia,Series A, 2017, 37(5): 860-868.

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