Local behaviour of solutions to doubly nonlinear parabolic equations

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Local Hölder continuity for doubly nonlinear parabolic equations (2010, background): “¤ In addition, in [17] it is also proved that all solutions of equation (1.”
The Fisher-KPP problem with doubly nonlinear diffusion (2016, background): “Thus, choosing ε ≤ {(pk)/[N(p − 1)]}p−1% p and noting that v(%, t) ≥ v > 0 for all τ ≤ t ≤ τ + ε and some constant v > 0 (the strict positivity follows from the Harnack Inequality proved in [34]), we have that it is sufficient to prove v ≥ BM (%, ε).”
On the H\"older regularity of signed solutions to a doubly nonlinear equation (2020, background): “The following Harnack’s inequality has been shown in [12, 18, 27].”