On wave equations of the $p$-Laplacian type with supercritical nonlinearities

Nicholas J. Kass, Mohammad A. Rammaha

This article focuses on a quasilinear wave equation of $p$-Laplacian type: \[ u_{tt} - Δ_p u -Δu_t = f(u) \] in a bounded domain $\Omega \subset {\mathbb{R}}^3$ with a sufficiently smooth…