3 citations · 4 across the 4 of their papers we have counts for
5 papers · 1 filter
-regularity for nonlinear elliptic equations with Schrödinger-type lower order terms
Mikyoung Lee, Jihoon Ok
We consider nonlinear elliptic equations of the -Laplacian type with lower order terms which involve nonnegative potentials satisfying a reverse Hölder type condition. Then we o…
Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients
Jehan Oh, Jihoon Ok
We obtain Calderón-Zygmund type estimates for parabolic equations with Orlicz growth, where nonlinearities involved in the equations may be discontinuous for the space and time var…
Hölder regularity for weak solutions to nonlocal double phase problems
Sun-Sig Byun, Jihoon Ok, Kyeong Song
We prove local boundedness and Hölder continuity for weak solutions to nonlocal double phase problems concerning the following fractional energy functional \[ \int_{\mathbb{R}^n}\i…
Local Hölder regularity for nonlocal equations with variable powers
Jihoon Ok
We prove the local boundedness and the local Hölder continuity of weak solutions to nonlocal equations with variable orders and exponents under sharp assumptions.
Interior and boundary -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 in the setting of the calculus of variations, and obtain $L^…