Block-radial symmetry breaking for ground states of biharmonic NLS

Rainer Mandel, Diogo Oliveira e Silva

We prove that the biharmonic NLS equation ${\Delta }^{2}u+2\Delta u+(1+\epsilon )u=|u{|}^{p-2}u$ in ${\mathbb{R}}^d$ has at least $k+1$ different solutions if $\epsilon >0$ is small enough and $2…