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On some sharp bounds for the homogenized p-poisson equation |
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| Authors: | Dag Lukkassen Lar Erik Persson Peter Wall |
| Institution: | 1. Department of Mathematics , Narvik Institute of Technology, Norvik, N-8501, Norway;2. Department of Mathematics , Lule? University, Sweded, Lule?, S-97187, Sweeden |
| Abstract: | We consider homogenization of a scale of p-Poisson equations in RN. Some new bounds of the effective energy are proved and compared with the non-linear Wiener -and Hashin-Shtrikman bounds. Moreover, we point out concrete nontrivid examples where these bounds even coincide. Some new examples of “optimal” microstructures are presented. |
| Keywords: | p-Poisson equation Homogenization effective energy bounds optimal structures means |