Growth estimates for modified Green potentials in the upper-half space

DOI10.1016/J.BULSCI.2010.08.002zbMath1220.31008OpenAlexW2088776481MaRDI QIDQ539846

Lei Qiao, Guan Tie Deng

Publication date: 31 May 2011

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2010.08.002

zbMATH Keywords

capacitymodified Green potential

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (3)

Retraction note: ``A note on the boundary behavior for a modified Green function in the upper-half space ⋮ Growth estimates for modified Neumann integrals in a half-space ⋮ Solving integral representations problems for the stationary Schrödinger equation

Cites Work

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• Integral representations of harmonic functions in half spaces
• On the boundary limits of Green potentials of functions
• On the covering properties of certain exceptional sets in a half-space
• On the behavior at infinity of Green potentials in a half space
• On the behavior at infinity of non-negative superharmonic functions in a half space
• Kernels for solving problems of Dirichlet type in a half-plane
• Growth properties for modified Poisson integrals in a half space.
• Le théorème du minimax et la théorie fine du potentiel
• Boundary Limits of Green Potentials of General Order
• Sharp growth estimates for modified Poisson integrals in a half space

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