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
Institute of Mathematics, Fudan University, Shanghai 200433, China
Received 3 April 1997; Revised 21 June 1997
Copyright © 2000 Xu Zhang. 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
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.