A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the Upper Half-Space

DOI10.1007/978-3-030-23854-4_5zbMath1442.35112OpenAlexW2980725503MaRDI QIDQ5115033

Juan José Marín, Irina Mitrea, Marius Mitrea, Dorina Mitrea, José Maria Martell

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-23854-4_5

zbMATH Keywords

nontangential boundary limitshomogeneous, constant coefficient elliptic system

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic systems (35J47)

Related Items

Extrapolation on function and modular spaces, and applications ⋮ The \(\mathrm{CMO}\)-Dirichlet problem for elliptic systems in the upper half-space ⋮ Fatou-type theorems and boundary value problems for elliptic systems in the upper half-space

Cites Work

• The Dirichlet problem for elliptic systems with data in Köthe function spaces
• Harmonic Function Theory
• The higher order regularity Dirichlet problem for elliptic systems in the upper-half space
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• A Generalization of a Theorem of Euler
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Distributions, partial differential equations, and harmonic analysis
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