TY - JOUR
T1 - Two-scale Convergence and Homogenization for a Class of Quasilinear Elliptic Equations
JO - Journal of Partial Differential Equations
VL - 3
SP - 263
EP - 276
PY - 1996
DA - 1996/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5626.html
KW - Partial differential equations
KW - homogenization
KW - weak convergence
KW - almost-periodic
KW - two-scale convergence
AB -  By use of Fourier analysis techniques, we obtain some new properties of the almost-periodic functions and extend the two-scale convergence method in the homogenization theory to the case of almost-periodic oscillations. Then, we use some new techniques to study the homogenization for quasilinear elliptic equations with almostperiodic coefficients: div a(x,x/ε, u, Du) = f(x) in Ω and obtain the weak convergence and corrector result.