Article
MSC:
35B27,
35J60,
74Q05,
74Q20 | MR 2043077 | Zbl 1099.35008 | DOI: 10.1023/B:APOM.0000027219.35966.10
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Keywords:
homogenization; bounds; degenerated; $p$-Poisson equation
homogenization; bounds; degenerated; $p$-Poisson equation
Summary:
In this paper we derive upper and lower bounds on the homogenized energy density functional corresponding to degenerated $p$-Poisson equations. Moreover, we give some non-trivial examples where the bounds are tight and thus can be used as good approximations of the homogenized properties. We even present some cases where the bounds coincide and also compare them with some numerical results.
References:
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