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- W2034407904 abstract "Abstract We study a class of integral functionals for which the integrand f e ( x , u , ∇ u ) is an oscillatory function of both x and u . Our method is based on the concept of Γ‐convergenee. Technical difficulties arise because f e ( x , u , ∇ u ) is not convex or equi‐continuous in u with respect to e . Two somewhat different approaches, based respectively on abstract convergence theorems and the study of affine functions, are exploited together to overcome these technical difficulties. As an application, we give another proof of a homogenization result of P. L. Lions, G. Papanicolaou, and S. R. S. Varadhan for Hamilton‐Jacobi equations." @default.
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- W2034407904 date "1991-09-01" @default.
- W2034407904 modified "2023-10-16" @default.
- W2034407904 title "A class of homogenization problems in the calculus of variations" @default.
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- W2034407904 doi "https://doi.org/10.1002/cpa.3160440702" @default.
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