Qualitative properties of solutions of equations and inequalities with KPZ-type nonlinearities

For quasi-linear equations and partial differential inequalities containing Cardara-Parisi-Zhang type nonlinearities, results on stabilization of solutions (for parabolic and elliptic cases), destruction of solutions and some specific effects will be presented. Illustrative examples will demonstrate the Bitsadze approach (monotone mapping technique) used in this field of research.