The 𝐿^{𝑝} regularity problem on Lipschitz domains

DOI10.1090/S0002-9947-2010-05076-7zbMath1210.35070arXiv0904.3906OpenAlexW1998643402MaRDI QIDQ3085123

Zhongwei Shen, Joel Kilty

Publication date: 28 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.3906

zbMATH Keywords

Dirichlet problemLipschitz domainsregularity problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order elliptic systems (35J47) Higher-order elliptic systems (35J48) Boundary value problems for second-order elliptic systems (35J57) Boundary value problems for higher-order elliptic systems (35J58)

Related Items

Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey ⋮ Homogenization of elliptic systems with Neumann boundary conditions ⋮ A bilinear estimate for biharmonic functions in Lipschitz domains ⋮ Weak maximum principle for biharmonic equations in quasiconvex Lipschitz domains ⋮ The mixed problem for the Laplacian in Lipschitz domains ⋮ Representation and uniqueness for boundary value elliptic problems via first order systems ⋮ Weighted maximal regularity estimates and solvability of non-smooth elliptic systems. I ⋮ The mixed problem in Lipschitz domains with general decompositions of the boundary ⋮ The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients ⋮ Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains ⋮ The \(L^p\) regularity problem for the Stokes system on Lipschitz domains

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