Verification of the Landau Equation and Hardy’s Inequality

We prove the L estimate for isotropic version of homogeneous landau problem, which was explored by M. Gualdani and N. Guillen. As shown in a region smooth potentials range under values interaction exponent (2), weighted Poincaré inequality is natural consequence traditional Hardy inequality, turn implies that norms solutions propagate L1 space. Now, based on work De Giorgi, Nash, Moser, as well few Sobolev inequalities.