About evaluation of unknown coefficients in a quasilinear elliptic equation

Inverse problems on restoration of coefficients of the partial differential equation are of interest in many applied researches. These problems lead to necessity of the approached decision of inverse problems for the equations of mathematical physics, which are incorrect in classical sense. Inverse problems in definition of unknown coefficients in a quasilinear eliptic equation are studied in the article. Theorems of existence, uniqueness and stability of inversion problems solution for the quailinear elliptic equations are proved.