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Lp Polyharmonic Dirichlet problems in regular domains I: The unit disc
Du Z.2; Ian Kou K.1; Wang J.1
2013-10-01
Source PublicationComplex Variables and Elliptic Equations
ISSN17476933 17476941
Volume58Issue:10Pages:1387-1405
Abstract

In this article, we consider a class of Dirichlet problems with L boundary data for polyharmonic functions in the unit disc. Using higher order Poisson kernels due to Begehr et al. [H. Begehr, J. Du, and Y. Wang, A Dirichlet problem for polyharmonic functions, Ann. Mat. Pura Appl. 187(4) (2008), pp. 435-457; Z. Du, G. Guo, and N. Wang, Decompositions of functions and Dirichlet problems in the unit disc, J. Math. Anal. Appl. 362(1) (2010), pp. 1-16], we give the integral representation solutions of the problems. © 2013 Copyright Taylor and Francis Group, LLC.

KeywordDirichlet Problems Higher Order Poisson Kernels Integral Representation Polyharmonic Functions
DOI10.1080/17476933.2012.678993
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000324812100005
Fulltext Access
Citation statistics
Cited Times [WOS]:6   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Universidade de Macau
2.Jinan University
Recommended Citation
GB/T 7714
Du Z.,Ian Kou K.,Wang J.. Lp Polyharmonic Dirichlet problems in regular domains I: The unit disc[J]. Complex Variables and Elliptic Equations,2013,58(10):1387-1405.
APA Du Z.,Ian Kou K.,&Wang J..(2013).Lp Polyharmonic Dirichlet problems in regular domains I: The unit disc.Complex Variables and Elliptic Equations,58(10),1387-1405.
MLA Du Z.,et al."Lp Polyharmonic Dirichlet problems in regular domains I: The unit disc".Complex Variables and Elliptic Equations 58.10(2013):1387-1405.
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