Solutions of Gross-Pitaevskii Equation with Periodic Potential in Dimension Two

Yulia Karpeshina, Seonguk Kim, Roman Shterenberg

Quasi-periodic solutions of a nonlinear polyharmonic equation for the case $4l>n+1$ in ${\mathbb{R}}^n$, $n>1$, are studied. This includes Gross-Pitaevskii equation in dimension two ($l=1,n=…