Unbounded principal eigenfunctions and the logistic equation on RN
نویسندگان
چکیده
منابع مشابه
Unbounded Principal Eigenfunctions for Problems on all lR
We investigate the existence of principal eigenvalues, i.e., values of λ for which the corresponding eigenfunction is positive, for the problem −∆u(x) = λg(x)u(x) for x ∈ lR where g is a smooth function which may change sign, Unlike most previous studies the eigenfunction is not required to → 0 as |x| → ∞. It is shown that there may exist a closed interval of principal eigenvalues [λ∗, λ ] and ...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2003
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700037229