5 papers · 1 filter
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,…
Interior Second Order Hölder Regularity for Stokes systems
Rong Dong, Dongsheng Li, Lihe Wang
Global second order Hölder regularity for Stokes systems can be obtained by global Schauder estimates, which are actually a priori estimates and were established by Solonnikov [20]…
-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…
Interior regularity for Stokes systems
Rong Dong, Dongsheng Li, Lihe Wang
A new iteration method is represented to study the interior regularity for Stokes systems both in divergence form and in non-divergence form. By the iteration, we improve t…
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…