81 citations · 160 across the 37 of their papers we have counts for
3 papers · 2 filters
Orbitally stable standing waves of a mixed dispersion nonlinear Schrödinger equation
Denis Bonheure, Jean-Baptiste Castéras, Ederson Moreira dos Santos +1
We study the mixed dispersion fourth order nonlinear Schrödinger equation \begin{equation*} %\tag{\protect{4NLS}}\label{4nls} i \partial_t ψ-γΔ^2 ψ+βΔψ+|ψ|^{2σ} ψ=0\ \text{in}\ \R…
Unbounded mass radial solutions for the Keller-Segel equation in the disk
Denis Bonheure, Jean-Baptiste Casteras, Carlos Román
We consider the boundary value problem $$ \left\{ \begin{array}{rcll} -Δu+ u -λe^u&=&0,\ u>0 & \mathrm{in}\ B_1(0)\\ \partial_νu&=&0&\mathrm{on}\ \partial B_1(0), \end{array}\right…
Strong instability of ground states to a fourth order Schrödinger equation
Denis Bonheure, Jean-Baptiste Casteras, Tianxiang Gou +1
In this note we prove the instability by blow-up of the ground state solutions for a class of fourth order Schr\" odinger equations. This extends the first rigorous results on blow…