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

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

Hicham Redwane

Faculté des Sciences Juridiques, Économiques et Sociales, Université Hassan 1, B.P. 784, Settat 26 000, Morocco

Received 20 July 2009; Accepted 17 November 2009

Academic Editor: Mónica Clapp

Copyright © 2009 Hicham Redwane. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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).