Inverse coefficient problems for nonlinear elliptic equations

被引：2

作者：

Yang, Runsheng ^{[1
]}

Ou, Yunhua ^{[2
]}

机构：

[1] Changsha Univ Sci & Technol, Dept Math, Changsha 410076, Hunan, Peoples R China

[2] Hunan Univ Technol, Dept Math, Zhuzhou 412007, Hunan, Peoples R China

来源：

ANZIAM JOURNAL | 2007年 / 49卷

基金：

中国国家自然科学基金;

关键词：

elliptic equations; inverse coefficient problems; existence of quasisolutions;

D O I：

10.1017/S1446181100012839

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：271 / 279

页数：9

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