International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 219586, 18 pages
doi:10.1155/2009/219586

Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and L1 Data

Abstract

An existence result of a renormalized solution for a class of nonlinear elliptic equations is established. The diffusion functions a(x,u,∇u) may not be in (Lloc1(Ω))N for a finite value of the unknown and the data belong to L1(Ω).