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$%B. Climent, Existence of weak-renormalized solution for a nonlinear system, Rev. Mat. Complut. 15 (2002), no. 2, 571583.%$

Existence of Weak-Renormalized Solution for a Nonlinear System
Blanca CLIMENT
Departamento de Ecuaciones Diferenciales y Análisis Numérico
Universidad de Sevilla
Tarfia s/n, E-41012 Sevilla — Spain

Received: March 13, 2000
Revised: December 13, 2001

ABSTRACT

We prove an existence result for a coupled system of the reaction-diffusion kind. The fact that no growth condition is assumed on some nonlinear terms motivates the search of a weak-renormalized solution.

2000 Mathematics Subject Classification: 35D05, 35J65.