Mikyoung Lee

activity

20192021

most cited

L^{q}

-regularity for nonlinear elliptic equations with Schrödinger-type lower order terms

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.AP2021★ 1 cited

$L^{q}$ -regularity for nonlinear elliptic equations with Schrödinger-type lower order terms

Mikyoung Lee, Jihoon Ok

We consider nonlinear elliptic equations of the $p$ -Laplacian type with lower order terms which involve nonnegative potentials satisfying a reverse Hölder type condition. Then we o…

math.AP2020

Hölder continuity of the minimizer of an obstacle problem with generalized Orlicz growth

Arttu Karppinen, Mikyoung Lee

We prove local $C^{0, α}$ - and $C^{1, α}$ -regularity for the local solution to an obstacle problem with non-standard growth. These results cover as special cases standard, variable e…

math.AP2019

Interior and boundary $W^{1, q}$ -estimates for quasi-linear elliptic equations of Schrödinger type

Mikyoung Lee, Jihoon Ok

We consider nonlinear elliptic equations that are naturally obtained from the elliptic Schrödinger equation $- Δ u + V u = 0$ in the setting of the calculus of variations, and obtain $L^…

Lq-regularity for nonlinear elliptic equations with Schrödinger-type lower order terms

Hölder continuity of the minimizer of an obstacle problem with generalized Orlicz growth

Interior and boundary W1,q-estimates for quasi-linear elliptic equations of Schrödinger type

$L^{q}$ -regularity for nonlinear elliptic equations with Schrödinger-type lower order terms

Interior and boundary $W^{1, q}$ -estimates for quasi-linear elliptic equations of Schrödinger type