4 papers · 2 filters
Borderline gradient regularity estimates for quasilinear parabolic systems with data independent of time
Karthik Adimurthi, Wontae Kim
In this paper, we study some regularity issues concerning the gradient of weak solutions of , where is mo…
Calderón-Zygmund type estimate for the parabolic double-phase system
Wontae Kim
This paper provides a local and global Calderón-Zygmund type estimate of a weak solution to the parabolic double-phase system. The proof of local estimate is based on comparison es…
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…