This issuePrevious ArticleA global compactness result for the p-Laplacian involving critical nonlinearitiesNext ArticleOn some strong ratio limit theorems for heat kernels
Local properties of non-negative solutions to some doubly non-linear
degenerate parabolic equations
In the present paper we study the local behavior of non-negative weak solutions of a wide class of doubly non linear degenerate parabolic equations. We show, in particular, some lower pointwise estimates of such solutions in terms of suitable sub-potentials (dictated by the structure of the equation) and an alternative form of the Harnack inequality.