The generalized Hölder and Morrey-Campanato Dirichlet problems for elliptic systems in the upper half-space

DOI10.1007/s11118-019-09793-9zbMath1447.35092arXiv1804.07623OpenAlexW3101112270MaRDI QIDQ2196593

Juan José Marín, Marius Mitrea, José Maria Martell

Publication date: 3 September 2020

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.07623

zbMATH Keywords

Poisson kernelLamé systemFatou type theoremnontangential pointwise trace

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Function spaces arising in harmonic analysis (42B35) Integral representations of solutions to PDEs (35C15) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Harmonic analysis and PDEs (42B37) Boundary value problems for second-order elliptic systems (35J57)

Related Items (3)

Generalized Carleson perturbations of elliptic operators and applications ⋮ Optimal Poisson kernel regularity for elliptic operators with Hölder continuous coefficients in vanishing chord-arc domains ⋮ The \(\mathrm{CMO}\)-Dirichlet problem for elliptic systems in the upper half-space

Cites Work

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• The Dirichlet problem for elliptic systems with data in Köthe function spaces
• The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients
• Hardy and BMO spaces associated to divergence form elliptic operators
• The BMO-Dirichlet problem for elliptic systems in the upper half-space and quantitative characterizations of VMO
• Self-improving properties of generalized Poincaré type inequalities through rearrangements
• Some properties of functions with bounded mean oscillation
• Mean Oscillation Over Cubes and Holder Continuity
• Distributions, partial differential equations, and harmonic analysis

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