Meyers type estimates for approximate solutions of nonlinear elliptic equations and their applications
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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.
Discrete & Continuous Dynamical Systems - B
author list (cited authors)
Efendiev, Y., & Pankov, A.
complete list of authors
Efendiev, Y||Pankov, Alexander