Doyoon Kim

activity

20052026

most citedElliptic equations in divergence form with partially BMO coefficients

116 citations · 577 across the 41 of their papers we have counts for

collaborators

Showing 2011 · math.APShow all

4 papers · 2 filters

math.AP2011

Global regularity of solutions to quasilinear conormal derivative problem with controlled growth

Doyoon Kim

We prove the global regularity of weak solutions to the conormal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under…

math.AP2011★ 69 cited

Schauder estimates for a class of non-local elliptic equations

Hongjie Dong, Doyoon Kim

We prove Schauder estimates for a class of non-local elliptic operators with kernel $K (y) = a (y) /∣ y ∣^{d + σ}$ and either Dini or Hölder continuous data. Here $0 < σ < 2$ is a constant a…

math.AP2011★ 81 cited

Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains

Hongjie Dong, Doyoon Kim

The solvability in Sobolev spaces is proved for divergence form complex-valued higher order parabolic systems in the whole space, on a half space, and on a Reifenberg flat domain.…

math.AP2011★ 83 cited

On $L_{p}$ -estimates for a class of non-local elliptic equations

Hongjie Dong, Doyoon Kim

We consider non-local elliptic operators with kernel $K (y) = a (y) /∣ y ∣^{d + σ}$ , where $0 < σ < 2$ is a constant and $a$ is a bounded measurable function. By using a purely analytic meth…

Global regularity of solutions to quasilinear conormal derivative problem with controlled growth

Schauder estimates for a class of non-local elliptic equations

Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains

On Lp​-estimates for a class of non-local elliptic equations

On $L_{p}$ -estimates for a class of non-local elliptic equations