Potential theory on Lipschitz domains in Riemannian manifolds: The case of Dini metric tensors

DOI10.1090/S0002-9947-02-03150-1zbMath1017.31004WikidataQ115289126 ScholiaQ115289126MaRDI QIDQ4794613

Marius Mitrea, Michael E. Taylor

Publication date: 19 February 2003

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

zbMATH Keywords

boundary value problemLaplace-Beltrami operatorlayer potential

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Elliptic equations on manifolds, general theory (58J05) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (12)

On the Robin Boundary Condition for Laplace's Equation in Lipschitz Domains ⋮ Elliptic Systems, Singular Sets and Dini Continuity ⋮ Brinkman-type operators on Riemannian manifolds: Transmission problems in Lipschitz and \(C ^{1}\) domains ⋮ One problem of the Navier type for the Stokes system in planar domains ⋮ The Poisson's problem for the Laplacian with Robin boundary condition in non-smooth domains ⋮ The \(L^{p}\) Robin problem for Laplace equations in Lipschitz and (semi-)convex domains ⋮ \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force ⋮ Boundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domains ⋮ Boundary pairs associated with quadratic forms ⋮ Sobolev and Besov Space Estimates for Solutions to Second Order PDE on Lipschitz Domains in Manifolds with Dini or Hölder Continuous Metric Tensors ⋮ Bôcher's theorem with rough coefficients ⋮ Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\)

Cites Work

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