A note on the boundary behavior for a modified Green function in the upper-half space

DOI10.1186/S13661-015-0363-ZzbMath1381.31002OpenAlexW834822669WikidataQ59433554 ScholiaQ59433554MaRDI QIDQ284128

Valery Piskarev, Yulian Zhang

Publication date: 17 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0363-z

zbMATH Keywords

capacitymodified Green functionupper-half space

Mathematics Subject Classification ID

Connections of harmonic functions with differential equations in higher dimensions (31B35) Green's functions for elliptic equations (35J08)

Related Items (2)

Retraction note: ``A note on the boundary behavior for a modified Green function in the upper-half space ⋮ Poisson type inequalities with respect to a cone and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Dirichlet problem for the Schrödinger operator in a half space
• Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term
• Integral representations for harmonic functions of infinite order in a cone
• Tangential boundary behavior of Green potentials and contractive properties of \(L^ p\)-capacities
• Growth estimates for modified Neumann integrals in a half-space
• Dirichlet problems of harmonic functions
• Dirichlet problem on the upper half space
• Le théorème du minimax et la théorie fine du potentiel
• GENERALIZATION OF THE PHRAGMÉN–LINDELÖF THEOREMS FOR SUBFUNCTIONS

This page was built for publication: A note on the boundary behavior for a modified Green function in the upper-half space