116 citations · 1.2k across the 127 of their papers we have counts for
129 papers
Nonlocal elliptic and parabolic equations with general stable operators in weighted Sobolev spaces
Hongjie Dong, Junhee Ryu
We study nonlocal elliptic and parabolic equations on open sets in weighted Sobolev spaces, where . The operators we consider are infinitesimal generators of…
Interior and boundary mixed norm derivative estimates for nonstationary Stokes equations
Hongjie Dong, Hyunwoo Kwon
We obtain weighted mixed norm Sobolev estimates in the whole space for nonstationary Stokes equations in divergence and nondivergence form with variable viscosity coefficients that…
Nondivergence form degenerate linear parabolic equations on the upper half space
Hongjie Dong, Tuoc Phan, Hung Vinh Tran
We study a class of nondivergence form second-order degenerate linear parabolic equations in with the homogeneous Dirichlet boundary condition…
Sobolev estimates for singular-degenerate quasilinear equations beyond the class
Hongjie Dong, Tuoc Phan, Yannick Sire
We study a conormal boundary value problem for a class of quasilinear elliptic equations in bounded domain whose coefficients can be degenerate or singular of the type $\text{d…
The insulated conductivity problem with -Laplacian
Hongjie Dong, Zhuolun Yang, Hanye Zhu
We study the insulated conductivity problem with closely spaced insulators embedded in a homogeneous matrix where the current-electric field relation is the power law $J = |E|^{p-2…
Time fractional parabolic equations with partially SMO coefficients
Hongjie Dong, Doyoon Kim
We present the unique solvability in Sobolev spaces of time fractional parabolic equations in divergence and non-divergence forms. The leading coefficients are merely measurable in…