Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (5): 860-868.

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Homogenization of Degenerate Quasilinear Elliptic Equations

Zhao Leina   

  1. 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)

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

CLC Number: 

  • O175.23
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