A quasilinear bistable equation in cylinders and timelike heteroclinics in special relativity

Denis Bonheure, Isabel Coelho, Manon Nys

In this note we consider the action functional \[ \int_{\mathbb{R} \times ω} \left( 1 - \sqrt{ 1 - |\nabla u|^2 } + W(u) \right) \, \mathrm{d}t, \] where $W$ is a double well poten…