Layer potentials and boundary value problems for elliptic systems in Lipschitz domains

DOI10.1016/0022-1236(91)90035-4zbMath0733.35034OpenAlexW2047836428MaRDI QIDQ810274

Wen-jie Gao

Publication date: 1991

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90035-4

zbMATH Keywords

Dirichlet problemunique solvabilityoblique derivative problemboundary data in \(L^ p\)

Mathematics Subject Classification ID

Related Items

Refined Rellich boundary inequalities for the derivatives of a harmonic function, The Dirichlet and regularity problems for some second order linear elliptic systems on bounded Lipschitz domains, On the Hadamard Formula for Second Order Systems in Non-Smooth Domains, Mixed impedance transmission problems for vibrating layered elastic bodies, Uniform boundary regularity in almost-periodic homogenization, Method of fundamental solutions for mixed and crack type problems in the classical theory of elasticity, Traces of functions in Hardy and Besov spaces on Lipschitz domains with applications to compensated compactness and the theory of Hardy and Bergman type spaces, Regularity of variational solutions to linear boundary value problems in Lipschitz domains, L^p resolvent estimates for variable coefficient elliptic systems on Lipschitz domains, Unnamed Item, Boundary estimates in homogenization of systems of elasticity on Lipschitz domains: \(L^p\) theory, Necessary and sufficient conditions for the solvability of the \(L^p\) Dirichlet problem on Lipschitz domains, \(L^p\) resolvent estimates for constant coefficient elliptic systems on Lipschitz domains, The \(L^{p}\) boundary value problems on Lipschitz domains, Uniform \(W^{1,p}\) estimates for systems of linear elasticity in a periodic medium, The Dirichlet problem for elliptic systems in multiconnected rough regions, Boundary Korn inequality and Neumann problems in homogenization of systems of elasticity, The Ẇ−1,p Neumann problem for higher order elliptic equations, A boundary integral equations approach for mixed impedance problems in elasticity, Solvability of elliptic systems with square integrable boundary data, The biharmonic Neumann problem in Lipschitz domains, Interface crack problems for metallic–piezoelectric composite structures, Layer potential methods for elliptic homogenization problems, The mixed problem for the Lamé system in a class of Lipschitz domains, The 𝐿^{𝑝} regularity problem on Lipschitz domains, On the Regularity of Green Functions in Lipschitz Domains, Extrapolation for the \(L^p\) Dirichlet problem in Lipschitz domains, The 𝐿^{𝑝} Dirichlet boundary problem for second order elliptic Systems with rough coefficients, The L^p Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system, The \(L^p\) regularity problem for the Stokes system on Lipschitz domains

Cites Work

• Boundary value problems for the systems of elastostatics in Lipschitz domains
• La solution des conjectures de Calderon
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Potential techniques for boundary value problems on \(C^1\)-domains
• Estimates of harmonic measure
• Singular Integral Operators and Differential Equations
• Singular Integrals on Compact Manifolds
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