Long time dynamics of solutions to $p$-Laplacian diffusion problems with bistable reaction terms

Raffaele Folino, Ramón G. Plaza, Marta Strani

This paper establishes the emergence of slowly moving transition layer solutions for the $p$-Laplacian (nonlinear) evolution equation, \[ u_t = \varepsilon^p(|u_x|^{p-2}u_x)_x - F'…