Integral representations of harmonic functions in half spaces

DOI10.1016/J.BULSCI.2006.03.008zbMath1111.31002OpenAlexW1996890643MaRDI QIDQ865501

Guan Tie Deng

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.bulsci.2006.03.008

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (9)

Asymptotic behavior for a class of modified \(\alpha \)-potentials in a half space ⋮ Integral representations of a class of harmonic functions in the half space ⋮ Liouville theorem for poly-harmonic functions on \(\mathbb{R}^n_+ \) ⋮ Dirichlet problem on the upper half space ⋮ Integral representations for harmonic functions of infinite order in a cone ⋮ Growth estimates for modified Green potentials in the upper-half space ⋮ Liouville theorems for nonnegative solutions to Hardy-Hénon type system on a half space ⋮ Solving integral representations problems for the stationary Schrödinger equation ⋮ GENERALIZATION OF THE PHRAGMÉN–LINDELÖF THEOREMS FOR SUBFUNCTIONS

Cites Work

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• Elliptic partial differential equations of second order
• Notions of convexity

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