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Lp polyharmonic Dirichlet problems in regular domains II: The upper half plane
Du Z.1; Qian T.2; Wang J.2
2012-01-15
Source PublicationJournal of Differential Equations
ISSN00220396 10902732
Volume252Issue:2Pages:1789-1812
Abstract

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

Keyword30g30 Dirichlet Problems Higher Order Schwarz Kernels Integral Representation Polyharmonic Functions
DOI10.1016/j.jde.2011.08.024
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000297778100040
Scopus ID2-s2.0-80655127701
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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 II: The upper half plane[J]. Journal of Differential Equations, 2012, 252(2), 1789-1812.
APA Du Z.., Qian T.., & Wang J. (2012). Lp polyharmonic Dirichlet problems in regular domains II: The upper half plane. Journal of Differential Equations, 252(2), 1789-1812.
MLA Du Z.,et al."Lp polyharmonic Dirichlet problems in regular domains II: The upper half plane".Journal of Differential Equations 252.2(2012):1789-1812.
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