Resetting or restart, when applied to a stochastic process, usually brings its dynamics to a time-independent stationary state. In turn, the optimal resetting rate makes the mean time to reach a target to be the shortest one. These and other problems have been intensively studied in the case of ordinary diffusive processes during the last decade. In this paper we consider the influence of stochastic resetting on a diffusive motion modeled in terms of the non-linear differential equation. The reason for its non-linearity is the power-law dependence of the diffusion coefficient on the probability density function or, in another context, the concentration of particles. We first derive an exact formula for the mean squared displacement and show how it attains the steady-state value under the exponential resetting. Then, we analyse the steady-state properties of the probability density function. We also explore the first-passage properties for the non-linear diffusion affected by the exponential resetting and find the exact expressions for the survival probability, the mean first-passage time and the optimal resetting rate, which minimizes the mean time needed for a particle to reach a pre-determined target. Finally, we find the universal property that the relative fluctuation in the mean first-passage time of optimally restarted non-linear diffusion is always equal to unity.