Meyers type estimates for approximate solutions of nonlinearelliptic equations and their applications
Yalchin R. Efendiev, А. А. Панков · Discrete and Continuous Dynamical Systems - B · 2006
In this paper we obtain Meyers type regularity estimates for approximate solutions of nonlinear elliptic equations. These estimates are used in the analysis of a numerical scheme obtained from a numerical homogenization of nonlinear elliptic equations. Numerical homogenization of nonlinear elliptic equations results in discretization schemes that require additional integrability of the approximate solutions. The latter motivates our work.