On some sharp bounds for the homogenizedp-poisson equation
Dag Lukkassen, Lar Erik Persson, Peter Wall · Applicable Analysis · 1995
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.