On a general symptotic problem associated with Leray-Lions operators
Mervan Pašić · University of Zagreb University Computing Centre (SRCE) · 1998
Firstly, we prove a pointwise comparison result for the suitable symmetrized problem that depends on a small positive parameter A. Then, by these results and by the Schwarz symmetrization, we obtain some asymptotic relationship between the solutions Ue of a general e - problem and a sequence of real numbers Ae. Finally, it is shown an application the preceding results to getting a priori estimates in the homogenization theory. Aeu = - L 8xAe,;(x, u(x), 'Vu(x)) and Fe(u, 'Vu)(x) =fe(x, u(x), 'Vu(x)). ;=1 I