Periodic Solutions of Evolutionm-Laplacian Equations with a Nonlinear Convection Term

Abstract

We show the existence and gradient estimates of periodic solutions in the case of0≤α<m+1to the evolutionm-Laplacian equations of formut−div{|∇u|m∇u}+b(u)⋅∇u=f(t)uα+h(x,t),inΩ×ℝ1with the Dirichlet boundary value condition.