Inverse Coefficient Problems for Nonlinear Elliptic Equations

runsheng yang

Abstract


This paper is
devoted to a class of inverse coefficient problems for nonlinear
elliptic equations. The unknown coefficient of 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 is unique solvable for the given class of coefficients.
The result of existence of a quasisolution of the inverse problem is
proved.



DOI: http://dx.doi.org/10.21914/anziamj.v49i0.33



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.