4 papers · 1 filter
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…
Boundary C^α-regularity for solutions of elliptic equations with distributional coefficients
Liang Jingqi, Wang Lihe, Zhou Chunqin
In this paper, we prove the boundary pointwise -regularity of weak solutions for Dirichlet problem of elliptic equations in divergence form with distributional coefficients,…
-regularity for solutions of elliptic equations with distributional coefficients
Jingqi Liang, Lihe Wang, Chunqin Zhou
In this paper, the continuity of solutions for elliptic equations in divergence form with distributional coefficients is considered. Inspired by the discussion on necessary and suf…
Boundary Lipschitz regularity of solutions for semilinear elliptic equations in divergence form
Jingqi Liang, Lihe Wang, Chunqin Zhou
In this paper, we consider the pointwise boundary Lipschitz regularity of solutions for the semilinear elliptic equations in divergence form mainly under some weaker assumptions on…