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International Journal of Mathematics and Mathematical Sciences 
Volume 23 (2000), Issue 5, Pages 313-318
doi:10.1155/S0161171200001071

Uniqueness of weak solution for nonlinear elliptic equations in divergence form

Xu Zhang

Institute of Mathematics, Fudan University, Shanghai 200433, China

Received 3 April 1997; Revised 21 June 1997

Abstract

We study the uniqueness of weak solutions for quasilinear elliptic equations in divergence form. Some counterexamples are given to show that our uniqueness result cannot be improved in the general case.