46 citations · 162 across the 32 of their papers we have counts for
4 papers · 1 filter
Higher integrability for doubly nonlinear parabolic systems
Verena Bögelein, Frank Duzaar, Juha Kinnunen +1
This paper proves a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The new feature of the argument is that the…
A median approach to differentiation bases
Toni Heikkinen, Juha Kinnunen
We study a version of the Lebesgue differentiation theorem in which the integral averages are replaced with medians over Busemann--Feller differentiation bases. Our main result giv…
A maximal function approach to two-measure Poincaré inequalities
Juha Kinnunen, Riikka Korte, Juha Lehrbäck +1
This paper extends the self-improvement result of Keith and Zhong in [16] to the two-measure case. Our main result shows that a two-measure -Poincaré inequality for $1<p<\in…
Supercaloric functions for the porous medium equation
Juha Kinnunen, Pekka Lehtelä, Peter Lindqvist +1
In the slow diffusion case unbounded supersolutions of the porous medium equation are of two totally different types, depending on whether the pressure is locally integrable or not…