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math.AP2026
A new notion of Dirichlet boundary condition for elliptic equation of divergence form
Tianyu Guan, Lihe Wang, Chunqin Zhou
In this paper, we consider Dirichlet boundary conditions for elliptic equations in divergence form on rough domains by introducing a truncation-based weak solution framework that c…
math.AP2025
Boundary pointwise regularity for the Poisson problem on uniform domain
Tianyu Guan, Lihe Wang, Chunqin Zhou
In this paper, we study the boundary pointwise regularity for the Poisson problem on domains with rough boundaries, specifically uniform domains. In general, it is not straightforw…