77 citations · 196 across the 29 of their papers we have counts for
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math.AP2013★ 77 cited
On the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds
Francois Hamel, Lenya Ryzhik
We consider the Fisher-KPP equation with a non-local interaction term. We establish a condition on the interaction that allows for existence of non-constant periodic solutions, and…
math.AP2013
Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples
Francois Hamel, Nikolai Nadirashvili, Yannick Sire
This paper deals with some geometrical properties of solutions of some semilinear elliptic equations in bounded convex domains or convex rings. Constant boundary conditions are imp…
math.AP2013★ 3 cited
Bistable transition fronts in R^N
Francois Hamel
This paper is chiefly concerned with qualitative properties of some reaction-diffusion fronts. The recently defined notions of transition fronts generalize the standard notions of…