Lp Polyharmonic Dirichlet problems in regular domains I: The unit disc | |
Du Z.2; Ian Kou K.1![]() | |
2013-10-01 | |
Source Publication | Complex Variables and Elliptic Equations
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ISSN | 17476933 17476941 |
Volume | 58Issue: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. |
Keyword | Dirichlet Problems Higher Order Poisson Kernels Integral Representation Polyharmonic Functions |
DOI | 10.1080/17476933.2012.678993 |
URL | View the original |
Indexed By | SCI |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000324812100005 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Affiliation | 1.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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