Potential theory on Lipschitz domains in Riemannian manifolds: \(L^p\) Hardy, and Hölder space results

From MaRDI portal
Publication:5944147

DOI10.4310/CAG.2001.v9.n2.a6zbMath0994.31001OpenAlexW166819231WikidataQ115205621 ScholiaQ115205621MaRDI QIDQ5944147

Marius Mitrea, Michael E. Taylor

Publication date: 26 September 2002

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cag.2001.v9.n2.a6



Related Items

Existence and uniqueness for a semilinear elliptic problem on Lipschitz domains in Riemannian manifolds II, Potential theory on Lipschitz domains in Riemannian manifolds: The case of Dini metric tensors, Double layer potentials on polygons and pseudodifferential operators on Lie groupoids, Brinkman-type operators on Riemannian manifolds: Transmission problems in Lipschitz and \(C ^{1}\) domains, Well-posedness and regularity for the elasticity equation with mixed boundary conditions on polyhedral domains and domains with cracks, 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, Explicit bounds for the high-frequency time-harmonic Maxwell equations in heterogeneous media, The quasi-static plasmonic problem for polyhedra, Estimates for the deviation of solutions and eigenfunctions of second-order elliptic Dirichlet boundary value problems under domain perturbation, Higher order Poisson kernels and \(L^p\) polyharmonic boundary value problems in Lipschitz domains, Single and double layer potentials on domains with conical points. I: Straight cones, \(L^p\) polyharmonic Dirichlet problems in regular domains. IV: The upper-half space, Variable coefficient transmission problems and singular integral operators on non-smooth manifolds, Lppolyharmonic Dirichlet problems in regular domains III: The unit ball, Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on nonsmooth, three-dimensional Riemannian manifolds, The stationary Navier-Stokes system in nonsmooth manifolds: the Poisson problem in Lipschitz and \(C^{1}\) domains, Sobolev and Besov Space Estimates for Solutions to Second Order PDE on Lipschitz Domains in Manifolds with Dini or Hölder Continuous Metric Tensors, The \(L^p\) Dirichlet problem for second order elliptic operators and a \(p\)-adapted square function, Layer potential methods for elliptic homogenization problems, \(L^p\)-Helmholtz decomposition on periodic domains and applications to Navier-Stokes equations, Large solutions for Yamabe and similar problems on domains in Riemannian manifolds, Hardy spaces and bmo on manifolds with bounded geometry, Potential theory on lipschitz domains in riemannian manifolds: hölder continuous metric tensors, Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem, Dirichlet-transmission problems for pseudodifferential Brinkman operators on Sobolev and Besov spaces associated to Lipschitz domains in Riemannian manifolds, Finite energy solutions of Maxwell's equations and constructive Hodge decompositions on nonsmooth Riemannian manifolds