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math.AP2023★ 1 cited
Global gradient estimates for the mixed local and nonlocal problems with measurable nonlinearities
S. -S. Byun, D. Kumar, H. -S. Lee
A non-homogeneous mixed local and nonlocal problem in divergence form is investigated for the validity of the global Calderón-Zygmund estimate for the weak solution to the Dirichle…
math.AP2023
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…
math.AP2022★ 3 cited
Global Maximal Regularity for Equations with Degenerate Weights
Anna Kh. Balci, Sun-Sig Byun, Lars Diening +1
In this paper we are concerned with global maximal regularity estimates for elliptic equations with degenerate weights. We consider both the linear case and the non-linear case. We…