UM
Lp polyharmonic Dirichlet problems in regular domains IV: The upper-half space
Du Z.1; Qian T.2; Wang J.2
2013-09-01
Source PublicationJournal of Differential Equations
ISSN00220396 10902732
Volume255Issue:5Pages:779-795
Abstract

In this article, we consider a class of Dirichlet problems with L boundary data for polyharmonic functions in the upper-half space. By introducing a sequence of new kernel functions for the upper-half space, called higher order Poisson kernels, integral representation solutions of the problems are provided. 

KeywordDirichlet Problems Higher Order Poisson Kernels Integral Representation Polyharmonic Functions
DOIhttps://doi.org/10.1016/j.jde.2013.04.035
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000320683100002
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Cited Times [WOS]:4   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Department of Mathematics, Jinan University, Guangzhou 510632, China
2.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macao, China
Recommended Citation
GB/T 7714
Du Z.,Qian T.,Wang J.. Lp polyharmonic Dirichlet problems in regular domains IV: The upper-half space[J]. Journal of Differential Equations,2013,255(5):779-795.
APA Du Z.,Qian T.,&Wang J..(2013).Lp polyharmonic Dirichlet problems in regular domains IV: The upper-half space.Journal of Differential Equations,255(5),779-795.
MLA Du Z.,et al."Lp polyharmonic Dirichlet problems in regular domains IV: The upper-half space".Journal of Differential Equations 255.5(2013):779-795.
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