Hölder regularity and Harnack inequality for degenerate parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities (Q1881337)

The paper deals with the following parabolic equation \[ u_t-\text{div}(| x| ^{-p\gamma}| \nabla u| ^{p-2}\nabla u)=f(x,t,u)\quad\text{in}\;\Omega\times(0,T), \] where \(p>2,\) \(0<\gamma+1<N/p,\) \(\Omega\subset{\mathbb R}^N\) is a regular bounded domain containing the origin. The authors obtain some weak Harnack inequality under suitable hypotheses on \(f.\)