Reiterated homogenization of monotone operators

• In this Note we study reiterated homogenization of nonlinear equations of the form −div(a(x/,x/2,Du))=f, where a is periodic in the first two arguments and monotone in the third. We state that u converges weakly in W1,p(Ω) (and even in some multiscale sense), as →0, to the solution u0 of a limit problem. Moreover, we give an explicit expression for the limit problem.

Subject headings

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Keyword

Mathematics

Matematik

Publication and Content Type

ref (subject category)

art (subject category)