On picard dimensions of nonpositive densities in schrödinger equations*
作者:
Hideo Imai,
期刊:
Complex Variables, Theory and Application: An International Journal
(Taylor Available online 1995)
卷期:
Volume 28,
issue 1
页码: 37-40
ISSN:0278-1077
年代: 1995
DOI:10.1080/17476939508814837
出版商: Gordon and Breach Science Publishers
关键词: 31A35;31B35
数据来源: Taylor
摘要:
It is shown in this paper that there exists a nonpositive densityQ(x)inwith the following properties. The cone of positive solutions of (−δ +Q(x))u(x) = 0 inUswith vanishing boundary values onis generated by a single element for everysin (0,1), but there exists no positive solutions of (−δ +cQ(x))u(x) =0 inUsfor anyc> 1 and arbitrarysin (0,1).
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