Singular measure as principal eigenfunction of some nonlocal operators
نویسندگان
چکیده
منابع مشابه
Singular measure as principal eigenfunction of some nonlocal operators
In this paper, we are interested in the spectral properties of the generalised principal eigenvalue of some nonlocal operator. That is, we look for the existence of some particular solution (λ, φ) of a nonlocal operator. ∫ Ω K(x, y)φ(y)dy + a(x)φ(x) = −λφ(x), where Ω ⊂ Rn is an open bounded connected set, K a nonnegative kernel and a is continuous. We prove that for the generalised principal ei...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2013
ISSN: 0893-9659
DOI: 10.1016/j.aml.2013.03.005