The Dirichlet problem at the Martin boundary of a fine domain

DOI10.1016/j.jmaa.2017.07.066zbMath1378.31005arXiv1501.00209OpenAlexW2963178141MaRDI QIDQ2405365

Bent Fuglede, Mohamed El Kadiri

Publication date: 25 September 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00209

zbMATH Keywords

Dirichlet problemfine topologyMartin boundaryfinely harmonic functionsfinely superharmonic functionsfine Green kernel

Mathematics Subject Classification ID

Martin boundary theory (31C35) Fine potential theory; fine properties of sets and functions (31C40)

Related Items (4)

Trace operator and the Dirichlet problem for elliptic equations on arbitrary bounded open sets ⋮ Martin boundary of a fine domain and a Fatou-Naïm-Doob theorem for finely superharmonic functions ⋮ On the integral representation of finely superharmonic functions ⋮ Sweeping at the Martin boundary of a fine domain

Cites Work

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• Sweeping at the Martin boundary of a fine domain
• Integral representation of fine potentials
• Autodual H-cones
• Sur la fonction de Green pour un domaine fin
• On the Riesz decomposition and the integral representation of finely superharmonic functions
• Finely harmonic functions
• The Riesz decomposition of finely superharmonic functions
• Martin boundary of a fine domain and a Fatou-Naïm-Doob theorem for finely superharmonic functions

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