Non-Lipschitz heterogeneous reaction with a p-Laplacian operator

<abstract><p>The intention along this work is to provide analytical approaches for a degenerate parabolic equation formulated with p-Laplacian operator and heterogeneous non-Lipschitz reaction. Firstly, some results are discussed presented in relation uniqueness, existence regularity of solutions. Due the diffusivity induced by (specially when $ \nabla u = 0 $, or close zero), solutions studied weak sense upon definition an appropriate test function. The positive This positivity condition employed show propagation. Afterwards, profiles explored specially characterize propagating front that exhibits property known as finite propagation speed. Finally, conditions shown loss compact support and, hence, blow up phenomena time.</p></abstract>