Extinction and Decay Estimates of Solutions for the p -Laplacian Equations with Nonlinear Absorptions and Nonlocal Sources

Abstract

We investigate the extinction and decay estimates of the $p$-Laplacian equations with nonlinear absorptions and nonlocal sources. By Gagliardo-Nirenberg inequality, we obtain the sufficient conditions of extinction solutions, and we also give the precise decay estimates of the extinction solutions.