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We consider nonlinear Kolmogorov-Fokker-Planck type equations of the form\begin{equation}\label{abeqn}(\partial_t+X\cdot\nabla_Y)u=\nabla_X\cdot(A(\nabla_X u,X,Y,t)). \end{equation}The function $A=A(\xi,X,Y,t):\R^m\times\R^m\times\R^m\times\R\to\R^m$ isassumed to be continuous with respect to $\xi$, and measurable with respect to$X,Y$ and $t$. $A=A(\xi,X,Y,t)$ is allowed to be nonlinear but with lineargrowth. We establish higher integrability and local boundedness of weaksub-solutions, weak Harnack and Harnack inequalities, and H{\"o}lder continuitywith quantitative estimates. In addition we establish existence and uniquenessof weak solutions to a Dirichlet problem in certain bounded $X$, $Y$ and $t$dependent domains.

On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients