Lower and upper bounds for the first eigenvalue of nonlocal diffusion problems in the whole space

We find lower and upper bounds for the first eigenvalue of a nonlocal diffusion operator of the form T(u)=-∫ ℝdK(x,y)(u(y)-u(x))dy. Here we consider a kernel K(x, y)=ψ(y-a(x))+ψ(x-a(y)) where ψ is a bounded, nonnegative function supported in the unit ball and a means a diffeomorphism on ℝ d. A simpl...

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Autor principal: Rossi, Julio Daniel
Publicado: 2012
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v252_n12_p6429_Ignat
http://hdl.handle.net/20.500.12110/paper_00220396_v252_n12_p6429_Ignat
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