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math.AP2018
On generalized principal eigenvalues of nonlocal operators with a drift *
Jérôme Coville, Francois Hamel
This article is concerned with the following spectral problem: to find a positive function C 1 () and R such that q(x) (x) + ^ J(x, y)(y) dy + a(x)…
math.AP2018
A counterexample to the Liouville property of some nonlocal problems
Julien Brasseur, Jérôme Coville
In this paper, we construct a counterexample to the Liouville property of some nonlocal reaction-diffusion equations of the form$$ \int\_{\mathbb{R}^N\setminus K} J(x-y)\,( u(y)-u(…