Rotating waves in nonlinear media and critical degenerate Sobolev inequalities

Joel Kübler, Tobias Weth

We investigate the presence of rotating wave solutions of the nonlinear wave equation ${\partial }_t^{2}v-\Delta v+mv=|v{|}^{p-2}v$ in $\mathbb{R}\times \mathbf{B}$, where $\mathbf{B}…