91 citations · 228 across the 32 of their papers we have counts for
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math.AP2010
Generalized transition waves and their properties
Henri Berestycki, François Hamel
In this paper, we generalize the usual notions of waves, fronts and propagation speeds in a very general setting. These new notions, which cover all classical situations, involve u…
math.AP2010★ 2 cited
On least Energy Solutions to A Semilinear Elliptic Equation in A Strip
Henri Berestycki, Juncheng Wei
We consider the following semilinear elliptic equation on a strip: \[ \left\{{array}{l} Δu-u + u^p=0 \ {in} \ \R^{N-1} \times (0, L), u>0, \frac{\partial u}{\partial ν}=0 \ {on} \…
math.AP2010
Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains
Henri Berestycki, Luca Rossi
Using three different notions of generalized principal eigenvalue of linear second order elliptic operators in unbounded domains, we derive necessary and sufficient conditions for…