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EXISTENCE OF THE SOLUTIONS FOR THE SINGULAR POTENTIAL ELLIPTIC SYSTEM

영뉵(盈朒)과 영부족술(盈不足術)에 관한 최근 동서양의 연구 분석
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 30 Mar 2012Publisher:The Kangwon-Kyungki Mathematical SocietyJournal:Korean Journal of Mathematics, volume 20, pages 107-116 (issn: 1976-8605, Copyright policy )
Authors: Hyunju Lee; Seung Yeon Kang; Bum Joon Son; Dong Hwan Lee; Seon Woo Kim;

doi: 10.11568/kjm.2012.20.1.107 , 10.11568/kjm.2012.20.1.137 , 10.14403/jcms.2012.25.2.201 , 10.11568/kjm.2012.20.1.125 , 10.11568/kjm.2012.20.1.091 , 10.11568/kjm.2012.20.1.019 , 10.11568/kjm.2012.20.1.061 , 10.11568/kjm.2012.20.1.033 , 10.11568/kjm.2012.20.1.001 , 10.11568/kjm.2012.20.1.077 , 10.11568/kjm.2012.20.1.047 , 10.11568/kjm.2012.20.1

EXISTENCE OF THE SOLUTIONS FOR THE SINGULAR POTENTIAL ELLIPTIC SYSTEM

Abstract

Using the direct method, we prove the Hyers-Ulam stability of the orthogonally additive-quartic functional equation $f (2x + y) + f (2x − y) = 4f (x + y) + 4f (x − y)+ 10f (x) + 14f (−x) − 3f (y) − 3f (−y)$ for all x, y with x ⊥ y, in non-Archimedean Banach spaces. Here ⊥ is the orthogonality in the sense of R atz.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
gold
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