Inverse Coefficient Problems for Nonlinear Elliptic Equations

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.