Metastable solutions for the thin‐interface limit of a p‐Laplacian phase field model

We consider a generalization of the semilinear phase field model from G. Caginalp), A. Jiménez‐Casas, and Rodriguez‐Bernal using a nonlinear diffusion operator (p‐Laplacian) for the phase field function. The main objective of this work is to prove the existence of the metastable solutions of the generalized system in the one‐dimensional case, which evolve very slowly in time.