On the principal eigenvalue of some nonlocal diffusion problems
نویسندگان
چکیده
منابع مشابه
On the Principal Eigenvalue of Some Nonlocal Diffusion Problems
In this paper we analyze some properties of the principal eigenvalue λ1(Ω) of the nonlocal Dirichlet problem (J∗u)(x)−u(x) = −λu(x) in Ω with u(x) = 0 in R \Ω. Here Ω is a smooth bounded domain of R and the kernel J is assumed to be a C compactly supported, even, nonnegative function with unit integral. Among other properties, we show that λ1(Ω) is continuous (or even differentiable) with respe...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2009
ISSN: 0022-0396
DOI: 10.1016/j.jde.2008.04.015