Nonlinear double porosity models with non-standard growth
Catherine Choquet, Leonid Pankratov · Comptes Rendus Mécanique · 2009
We study the solutions to quasilinear elliptic equations with high contrast coefficients. The energy formulation leads to work with variable exponent Lebesgue spaces L p ε ( ⋅ ) in domains with a complex microstructure scaled by a small parameter ε . We derive rigorously the corresponding homogenized problem. It is completely described in terms of local energy characteristics of the original domain.