# Bounds and numerical results for homogenized degenerated $p$-Poisson equations

Johan Byström; Jonas Engström; Peter Wall

Applications of Mathematics (2004)

- Volume: 49, Issue: 2, page 111-122
- ISSN: 0862-7940

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topByström, Johan, Engström, Jonas, and Wall, Peter. "Bounds and numerical results for homogenized degenerated $p$-Poisson equations." Applications of Mathematics 49.2 (2004): 111-122. <http://eudml.org/doc/33178>.

@article{Byström2004,

abstract = {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.},

author = {Byström, Johan, Engström, Jonas, Wall, Peter},

journal = {Applications of Mathematics},

keywords = {homogenization; bounds; degenerated; $p$-Poisson equation; homogenization; bound; degenerated -Poisson equation},

language = {eng},

number = {2},

pages = {111-122},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Bounds and numerical results for homogenized degenerated $p$-Poisson equations},

url = {http://eudml.org/doc/33178},

volume = {49},

year = {2004},

}

TY - JOUR

AU - Byström, Johan

AU - Engström, Jonas

AU - Wall, Peter

TI - Bounds and numerical results for homogenized degenerated $p$-Poisson equations

JO - Applications of Mathematics

PY - 2004

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 49

IS - 2

SP - 111

EP - 122

AB - 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.

LA - eng

KW - homogenization; bounds; degenerated; $p$-Poisson equation; homogenization; bound; degenerated -Poisson equation

UR - http://eudml.org/doc/33178

ER -

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