46 citations · 162 across the 32 of their papers we have counts for
37 papers
Parabolic Poincaré inequalities and maximal function estimates for systems of partial differential equations
Wontae Kim, Juha Kinnunen
We study parabolic Poincaré inequalities for solutions to nonlinear systems of partial differential equations. Our main results show that these inequalities are self-improving. As…
Characterizations of parabolic reverse Hölder classes
Juha Kinnunen, Kim Myyryläinen
This paper discusses parabolic reverse Hölder inequalities and their connections to parabolic Muckenhoupt weights. The main result gives several characterizations for this class of…
Characterizations of parabolic Muckenhoupt classes
Juha Kinnunen, Kim Myyryläinen
This paper extends and complements the existing theory for the parabolic Muckenhoupt weights motivated by one-sided maximal functions and a doubly nonlinear parabolic partial diffe…
Gradient higher integrability for double phase problems on metric measure spaces
Juha Kinnunen, Antonella Nastasi, Cintia Pacchiano Camacho
We study local and global higher integrability properties for quasiminimizers of a class of double-phase integrals characterized by nonstandard growth conditions. We work purely on…
Lipschitz truncation method for parabolic double-phase systems and applications
Wontae Kim, Juha Kinnunen, Lauri Särkiö
We discuss a Lipschitz truncation technique for parabolic double-phase problems of -Laplace type in order to prove energy estimates and uniqueness results for the Dirichlet prob…
On the regularity theory for mixed anisotropic and nonlocal -Laplace equations and its applications to singular problems
Prashanta Garain, Wontae Kim, Juha Kinnunen
We establish existence results for a class of mixed anisotropic and nonlocal -Laplace equation with singular nonlinearities. We consider both constant and variable singular expo…