J. Ok

activity

20192026

most citedMaximal regularity for local minimizers of non-autonomous functionals

131 citations · 190 across the 26 of their papers we have counts for

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3 papers · 1 filter

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★ 3 cited

Higher integrability for parabolic systems with Orlicz growth

Peter Hästö, Jihoon Ok

We prove higher integrability of the spatial gradient of weak solutions to parabolic systems with $ϕ$ -growth, where $φ = φ (t)$ is a general Orlicz function. The parabolic systems nee…

math.AP2019★ 131 cited

Maximal regularity for local minimizers of non-autonomous functionals

Peter Hästö, Jihoon Ok

We establish local $C^{1, α}$ -regularity for some $α \in (0, 1)$ and $C^{α}$ -regularity for any $α \in (0, 1)$ of local minimizers of the functional \[ v\ \mapsto\ \int_Ωϕ(x,|Dv|)\,dx, \] w…

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

Higher integrability for parabolic systems with Orlicz growth

Maximal regularity for local minimizers of non-autonomous functionals

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