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REITERATED HOMOGENIZATION OF NONLINEAR MONOTONE OPERATORS 被引量:2

REITERATED HOMOGENIZATION OF NONLINEAR MONOTONE OPERATORS
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摘要 In this paper, the authors study reiterated homogenization of nonlinear equations of the form --div(a(x, x/ε x/ε, Duε) = f, where a is periodic in the first two arguments and monotone in the third. It is proved that ue converges weakly in W1,P(Ω) (and even in some multiscale sense), as ε→ 0 to the solution uo of a limit problem. Moreover, an explicit expression for the limit problem is given. The main results were also stated in [15]. This article presents the complete proofs of these results.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2001年第1期1-12,共12页 数学年刊(B辑英文版)
关键词 HOMOGENIZATION Nonlinear monotone operators Nonlinear equation 非线性单调算子 偏微分方程 齐性化 非线性方程
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  • 1Philip Hartman,Guido Stampacchia.On some non-linear elliptic differential-functional equations[J].Acta Mathematica.1966(1)

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