46 citations · 162 across the 32 of their papers we have counts for
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math.AP2020★ 4 cited
Some local properties of subsolutons and supersolutions for a doubly nonlinear nonlocal parabolic -Laplace equation
Agnid Banerjee, Prashanta Garain, Juha Kinnunen
We establish a local boundedness estimate for weak subsolutions to a doubly nonlinear parabolic fractional -Laplace equation. Our argument relies on energy estimates and a parab…
math.AP2020
Nonexistence of variational minimizers related to a quasilinear singular problem in metric measure spaces
Prashanta Garain, Juha Kinnunen
In this article we consider a variational problem related to a quasilinear singular problem and obtain a nonexistence result in a metric measure space with a doubling measure and a…
math.AP2020
Supercaloric functions for the parabolic -Laplace equation in the fast diffusion case
Ratan Kr. Giri, Juha Kinnunen, Kristian Moring
We study a generalized class of supersolutions, so-called -supercaloric functions, to the parabolic -Laplace equation. This class of functions is defined as lower semicontinu…