Runsheng Yang^{†} 
Yunhua Ou 
Department of Mathematics Changsha University of Sciences and Technology Changsha Hunan 410076 P.R. China runshengyang@126.com 
Department of Mathematics Hunan University of Technology Zhuzhou Hunan 412007 P.R. China yunhuaou01@126.com 

Received 12 June, 2006; revised 3 October, 2006

Abstract
This paper is devoted to a class of inverse coefficient problems for nonlinear elliptic equations. The unknown coefficient of the elliptic equations depends on the gradient of the solution and belongs to a set of admissible coefficients. It is shown that the nonlinear elliptic equations are uniquely solvable for the given class of coefficients. Proof of the existence of a quasisolution of the inverse problems is obtained.
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2000 Mathematics Subject Classification:
primary 35R30; secondary 35J85

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MathSciNet:
MR2376??? 
^{†}indicates author for correspondence 
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