TITLE

Multiple Positive Solutions of Nonhomogeneous Elliptic Equations in Unbounded Domains

AUTHOR(S)
Tsing-San Hsu
PUB. DATE
January 2007
SOURCE
Abstract & Applied Analysis;2007, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We will show that under suitable conditions on f and h, there exists a positive number χ* such that the nonhomogeneous elliptic equation -Δu + u = χ*( f (x,u) + h(x)) in Ω, u εH0¹ (Ω), N ≥ 2, has at least two positive solutions if χ ε (0,χ*), a unique positive solution if χ* = χ*, and no positive solution if χ > χ*, where Ω is the entire space or an exterior domain or an unbounded cylinder domain or the complement in a strip domain of a bounded domain. We also obtain some properties of the set of solutions.
ACCESSION #
28138842

 

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