Integrability of Green potentials in fractal domains

DOI10.1007/BF02559551zbMath0860.31002MaRDI QIDQ1815441

Kaj Nyström

Publication date: 23 April 1997

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

reverse Hölder inequalityGreen functionintegral inequalitiesGreen potentialnon tangentially accessible domains

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

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Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains ⋮ 3D Koch-type crystals ⋮ Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes ⋮ A generalization of Dahlberg's theorem concerning the regularity of harmonic Green potentials ⋮ The dual of a Bergman space on simply connected domains. ⋮ Criteria of solvability for multidimensional Riccati equations ⋮ Uniform weighted estimates on pre-fractal domains ⋮ Criterion for the Sobolev well-posedness of the Dirichlet problem for the Poisson equation in Lipschitz domains. I ⋮ Dynamical Quasi-Filling Fractal Layers ⋮ Asymptotics for mixed Dirichlet-Robin problems in irregular domains ⋮ WEIGHTED ESTIMATES ON FRACTAL DOMAINS ⋮ Layered fractal fibers and potentials ⋮ Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries

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