UM
Lp polyharmonic Dirichlet problems in regular domains III: The unit ball
Du Z.1; Qian T.2; Wang J.2
2014
Source PublicationComplex Variables and Elliptic Equations
ISSN17476941 17476933
Volume59Issue:7Pages:947-965
Abstract

In this article, we consider a class of Dirichlet problems with boundary data for polyharmonic functions in the unit ball. By introducing a sequence of new kernel functions for the unit ball, which are called higher order Poisson kernels, we give the integral representation solutions of the problems.

KeywordDirichlet Problems Higher Order Poisson Kernels Integral Representation Polyharmonic Functions
DOIhttps://doi.org/10.1080/17476933.2013.799150
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000334162800005
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Cited Times [WOS]:7   [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 III: The unit ball[J]. Complex Variables and Elliptic Equations,2014,59(7):947-965.
APA Du Z.,Qian T.,&Wang J..(2014).Lp polyharmonic Dirichlet problems in regular domains III: The unit ball.Complex Variables and Elliptic Equations,59(7),947-965.
MLA Du Z.,et al."Lp polyharmonic Dirichlet problems in regular domains III: The unit ball".Complex Variables and Elliptic Equations 59.7(2014):947-965.
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