On some sharp bounds for the homogenized p-Poisson equation

• 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.

Subject headings

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Keyword

bounds

effective energy

homogenization

means

optimal structures

p-Poisson equation

Matematik

Mathematics

Publication and Content Type

ref (subject category)

art (subject category)