Symmetry breaking for ground states of biharmonic NLS via Fourier extension estimates

Enno Lenzmann, Tobias Weth

We consider ground states solutions $u\in H^2({\mathbb{R}}^N)$ of biharmonic (fourth-order) nonlinear Schrödinger equations of the form $$ Δ^2 u + 2a Δu + b u - |u|^{p-2} u = 0 \qua…