Geodesic
Bounds and numerical results for homogenized degenerated $p$-Poisson equations
Applications of Mathematics, Tome 49 (2004) no. 2, pp. 111-122 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.1023/B:APOM.0000027219.35966.10
Classification : 35B27, 35J60, 74Q05, 74Q20
Keywords: homogenization; bounds; degenerated; $p$-Poisson equation 
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     title = {Bounds and numerical results for homogenized degenerated $p${-Poisson} equations},
     journal = {Applications of Mathematics},
     pages = {111--122},
     year = {2004},
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Byström, Johan; Engström, Jonas; Wall, Peter. Bounds and numerical results for homogenized degenerated $p$-Poisson equations. Applications of Mathematics, Tome 49 (2004) no. 2, pp. 111-122. doi: 10.1023/B:APOM.0000027219.35966.10

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