Maximal function methods for Sobolev spaces Maximal functions Lipeschitz and Sobolev functions Sobolev and Poincaré inequalities Pointwise inequalities for Sobolev functions Capacities and fine properties of Sobolev functions Hardys inequalities Density conditions Muckenhoupt weights Weighted maximal and Poincaré inequalities Distance weights and Hardy Sobolev inequalities The p Laplace equation Stability results for the p Laplace equation.