17 citations · 45 across the 19 of their papers we have counts for
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Boundary behavior of solutions to the parabolic p-Laplace equation
Benny Avelin, Kaj Nyström, Tuomo Kuusi
We establish boundary estimates for non-negative solutions to the p-parabolic equation in the degenerate range . Our main results include new parabolic intrinsic Harnack chain…
Characterizations of interior polar sets for the degenerate p-parabolic equation
Benny Avelin, Olli Saari
This paper deals with different characterizations of sets of nonlinear parabolic capacity zero, with respect to the parabolic p-Laplace equation. Specifically we prove that certain…
A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term
Benny Avelin, Vesa Julin
This paper concerns the boundary behavior of solutions of certain fully nonlinear equations with a general drift term. We elaborate on the non-homogeneous generalized Harnack inequ…
A comparison principle for the porous medium equation and its consequences
Benny Avelin, Teemu Lukkari
We prove a comparison principle for the porous medium equation in more general open sets in than space-time cylinders. We apply this result in two related contex…