RETRACTED ARTICLE: A note on the boundary behavior for a modified Green function in the upper-half space-Reference-Cited by-同舟云学术

RETRACTED ARTICLE: A note on the boundary behavior for a modified Green function in the upper-half space

Published:2015-07-07 Issue:1 Volume:2015 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Zhang Yulian,Piskarev Valery

Abstract

AbstractMotivated by (Xu et al. in Bound. Value Probl. 2013:262, 2013) and (Yang and Ren in Proc. Indian Acad. Sci. Math. Sci. 124(2):175-178, 2014), in this paper we aim to construct a modified Green function in the upper-half space of the n-dimensional Euclidean space, which generalizes the boundary property of general Green potential.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13661-015-0363-z.pdf

Reference11 articles.

1. American Mathematical Society Colloquium Publications;G Szegö,1975

2. Ren, YD, Yang, P: Growth estimates for modified Neumann integrals in a half space. J. Inequal. Appl. 2013, 572 (2013)

3. Xu, G, Yang, P, Zhao, T: Dirichlet problems of harmonic functions. Bound. Value Probl. 2013, 262 (2013)

4. Yang, DW, Ren, YD: Dirichlet problem on the upper half space. Proc. Indian Acad. Sci. Math. Sci. 124(2), 175-178 (2014)

5. Qiao, L: Integral representations for harmonic functions of infinite order in a cone. Results Math. 61, 62-74 (2012)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Retraction Note: A note on the boundary behavior for a modified Green function in the upper-half space;Boundary Value Problems;2020-10-08

2. Poisson type inequalities with respect to a cone and their applications;Journal of Inequalities and Applications;2017-05-16