Harnack's inequality for doubly nonlinear equations of slow diffusion type.
In this article we prove a Harnack inequality for non-negative weak solutions to doubly nonlinear parabolic equations of the form   where the vector field  fulfills p-ellipticity and growth conditions. We treat the slow diffusion case in its full range, i.e. all exponents  and  with  are included in our considerations.
['Bögelein|Verena|V|0000-0002-5646-2023', 'Heran|Andreas|A|', 'Schätzler|Leah|L|0000-0002-4219-6916', 'Singer|Thomas|T|']
35B45 35B65 35K55 35K65