| Abstract: |
| We prove local Holder continuity for non negative, locally bounded, local weak solutions for the class of doubly nonlinear parabolic equations $\partial_t(u^q) + \text{Div}(|Du|^{p-2}Du) =0$ with $p>2$ and $p-1>q>0$. The novelty of the proof of such result is given by the use of an expansion of positivity argument, combined with the study of an alternative (related to DeGiorgi-type lemmas) and an exponential shift which allows us to deal with the intrinsic geometry associated to the problem. |
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