6 citations · 11 across the 31 of their papers we have counts for
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Existence of very weak solutions to nonlinear elliptic equation with nonstandard growth and global weighted gradient estimates
Sun-Sig Byun, Minkyu Lim
We study a general class of quasilinear elliptic equations with nonstandard growth to prove the existence of a very weak solution to such a problem. A key ingredient in the proof i…
Singular elliptic measure data problems with irregular obstacles
Sun-Sig Byun, Kyeong Song, Yeonghun Youn
We investigate elliptic irregular obstacle problems with -growth involving measure data. Emphasis is on the strongly singular case , and we obtain several new c…
Calderón-Zygmund theory of nonlocal parabolic equations with discontinuous coefficients
Sun-Sig Byun, Kyeongbae Kim, Deepak Kumar
We prove Calderón-Zygmund type estimates of weak solutions to non-homogeneous nonlocal parabolic equations under a minimal regularity requirement on kernel coefficients. In particu…
Higher Hölder regularity for nonlocal parabolic equations with irregular kernels
Sun-Sig Byun, Hyojin Kim, Kyeongbae Kim
We study a nonlocal parabolic equation with an irregular kernel coefficient to establish higher Hölder regularity under an appropriate higher integrablilty on the nonhomogeneous te…
Regularity results for a class of nonlocal double phase equations with VMO coefficients
Sun-Sig Byun, Kyeongbae Kim, Deepak Kumar
We study a class of nonlocal double phase problems with discontinuous coefficients. A local self-improving property and a higher Hölder continuity result for weak solutions to such…
Regularity results for mixed local and nonlocal double phase functionals
Sun-Sig Byun, Ho-Sik Lee, Kyeong Song
We investigate the De Giorgi-Nash-Moser theory for minimizers of mixed local and nonlocal functionals modeled after \[ v \mapsto \int_{\mathbb{R}^{n}}\int_{\mathbb{R}^{n}}\dfrac{|v…