77 citations · 196 across the 29 of their papers we have counts for
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math.AP2015
Shear flows of an ideal fluid and elliptic equations in unbounded domains
François Hamel, Nikolai Nadirashvili
We prove that, in a two-dimensional strip, a steady flow of an ideal incompressible fluid with no stationary point and tangential boundary conditions is a shear flow. The same conc…
math.AP2015★ 2 cited
One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in R
Denis Bonheure, François Hamel
In this paper, we prove an analogue of Gibbons' conjecture for the extended fourth order Allen-Cahn equation in R N , as well as Liouville type results for some solutions convergin…
math.AP2015★ 1 cited
A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane
Francois Hamel, Xavier Ros-Oton, Yannick Sire +1
We consider entire solutions to in , where is a nonlocal operator with translation invariant, even and compactly supported kernel .…