Liouville's theorem and the restricted mean property for Biharmonic Functions

Liouville's theorem and the restricted mean property for Biharmonic Functions

We prove that under certain conditions, a bounded Lebesgue measurable function satisfying the restricted mean value for biharmonic functions is constant, in $mathbb{R}^n$ with $nge 3$.

Bibliographic Details
Main Author: Mohamed El Kadiri
Format: Article
Language:English
Published: Texas State University 2004-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Biharmonic function
mean property
Liouville's theorem.
Online Access:http://ejde.math.txstate.edu/Volumes/2004/66/abstr.html
id doaj-31c86fad15c94c4887dedcac3a18a628
record_format Article
spelling doaj-31c86fad15c94c4887dedcac3a18a6282020-11-25T00:45:18ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-04-0120046615Liouville's theorem and the restricted mean property for Biharmonic FunctionsMohamed El KadiriWe prove that under certain conditions, a bounded Lebesgue measurable function satisfying the restricted mean value for biharmonic functions is constant, in $mathbb{R}^n$ with $nge 3$. http://ejde.math.txstate.edu/Volumes/2004/66/abstr.htmlBiharmonic functionmean propertyLiouville's theorem.
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed El Kadiri
spellingShingle Mohamed El Kadiri
Liouville's theorem and the restricted mean property for Biharmonic Functions
Electronic Journal of Differential Equations
Biharmonic function
mean property
Liouville's theorem.
author_facet Mohamed El Kadiri
author_sort Mohamed El Kadiri
title Liouville's theorem and the restricted mean property for Biharmonic Functions
title_short Liouville's theorem and the restricted mean property for Biharmonic Functions
title_full Liouville's theorem and the restricted mean property for Biharmonic Functions
title_fullStr Liouville's theorem and the restricted mean property for Biharmonic Functions
title_full_unstemmed Liouville's theorem and the restricted mean property for Biharmonic Functions
title_sort liouville's theorem and the restricted mean property for biharmonic functions
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2004-04-01
description We prove that under certain conditions, a bounded Lebesgue measurable function satisfying the restricted mean value for biharmonic functions is constant, in $mathbb{R}^n$ with $nge 3$.
topic Biharmonic function
mean property
Liouville's theorem.
url http://ejde.math.txstate.edu/Volumes/2004/66/abstr.html
work_keys_str_mv AT mohamedelkadiri liouvillestheoremandtherestrictedmeanpropertyforbiharmonicfunctions
_version_ 1725270981779390464

Similar Items