Existence and stability of forced waves for p-Laplace equations in a shifting habitat

This article concerns the existence and stability of forced waves for p-Laplace equations with a shifting habitat given by a monotonically decreasing function with a sign change. The existence of forced waves is studied by the monotone iteration method combined with a pair of delicate super- and sub-solutions. Finally, we develop an approximating weighted energy method to prove the \(L^p\) stability and exponential convergence of forced waves. For more information see https://ejde.math.txstate.edu/Volumes/2025/48/abstr.html