东北数学（英文版）
東北數學（英文版）
동북수학（영문판）
NORTHEASTERN MATHEMATICAL JOURNAL
2000年
4期
475-483
,共9页
periodic solution%porous medium equation%weakly nonlinear source
In this paper, we show the existence of the time periodic solutions to the porous medium equations of the formаn/аt=△(I u|m-Iu)+B(x,t,u)+f(x,t)in Ω×R with the Dirichlet boundary value condition, where m＞1, Ω is a bounded domain in RN with smooth boundary , the continuous function f and the Holder continuous function B (x,t, u)are periodic in t with period to and the nonlinear sources are assumed to be weaker, i.e.,B(x,t,u) u≤b0|u|α+1 with constants b0≥0 and 0≤α＜m.
