10 citations · 16 across the 4 of their papers we have counts for
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math.AP2012
Orbitally stable standing waves for the asymptotically linear one-dimensional NLS
François Genoud
In this article we study the one-dimensional, asymptotically linear, non-linear Schrödinger equation (NLS). We show the existence of a global smooth curve of standing waves for thi…
math.CA2012
Landesman-Lazer conditions at half-eigenvalues of the p-Laplacian
François Genoud, Bryan P. Rynne
We study the existence of solutions of the Dirichlet problem {gather} -ϕ_p(u')' -a_+ ϕ_p(u^+) + a_- ϕ_p(u^-) -λϕ_p(u) = f(x,u), \quad x \in (0,1), \label{pb.eq} \tag{1} u(0)=u(1)=0…
math.AP2012
Bifurcation along curves for the p-Laplacian with radial symmetry
François Genoud
We study the global structure of the set of radial solutions of a nonlinear Dirichlet problem involving the p-Laplacian with p>2, in the unit ball of , $N \ges 1$. We show tha…