ANZIAM J. 49 (2007), no. 2, pp. 271–279.

Inverse coefficient problems for nonlinear elliptic equations

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
(Metadata: XML, RSS, BibTeX) MathSciNet: MR2376???
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