131 citations · 190 across the 26 of their papers we have counts for
7 papers · 2 filters
Local Hölder continuity for fractional nonlocal equations with general growth
Sun-Sig Byun, Hyojin Kim, Jihoon Ok
We study generalized fractional -Laplacian equations to prove local boundedness and Hölder continuity of weak solutions to such nonlocal problems by finding a suitable fractiona…
Regularity theory for non-autonomous partial differential equations without Uhlenbeck structure
Peter Hästö, Jihoon Ok
We establish maximal local regularity results of weak solutions or local minimizers of \[ \operatorname{div} A(x, Du)=0 \quad\text{and}\quad \min_u \int_ΩF(x,Du)\,dx, \] providing…
-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.