Meyers type estimates for approximate solutions of nonlinear elliptic equations and their applications Academic Article uri icon

abstract

  • 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.

published proceedings

  • Discrete & Continuous Dynamical Systems - B

author list (cited authors)

  • Efendiev, Y., & Pankov, A.

citation count

  • 0

complete list of authors

  • Efendiev, Y||Pankov, Alexander

publication date

  • January 2006