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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
DOI10.1016/j.jde.2013.04.035
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000320683100002
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495
Scopus ID2-s2.0-84878938180
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Citation statistics
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorDu Z.
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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