Mikyoung Lee

activity

20192026

ω

-minimizers of functionals with generalized Orlicz growth

28 citations · 29 across the 10 of their papers we have counts for

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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^…

math.AP2019★ 28 cited

Hölder continuity of $ω$ -minimizers of functionals with generalized Orlicz growth

Petteri Harjulehto, Peter Hästö, Mikyoung Lee

We show local Hölder continuity of quasiminimizers of functionals with non-standard (Musielak--Orlicz) growth. Compared with previous results, we cover more general minimizing func…

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

Hölder continuity of ω-minimizers of functionals with generalized Orlicz growth

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

Hölder continuity of $ω$ -minimizers of functionals with generalized Orlicz growth