Sharp constants for some inequalities connected to the -Laplace operator.
Bounds and numerical results for homogenized degenerated -Poisson equations
In this paper we derive upper and lower bounds on the homogenized energy density functional corresponding to degenerated -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.
Page 1