The purpose of this paper is to deal with the blow-up problems of the following p-Laplacian parabolic equations with nonlocal boundary conditions: (h(u)) t =. center dot |. u|p-2. u + k1(t)f (u) in x (0, t *), |.u|p-2. u.. = k2(t) g(u) dx on. x (0, t*), u(x, 0) = u0(x) = 0 in , where p> 2, . Rn (n = 2) is a bounded convex region, and the boundary. is smooth. With the help of differential inequality techniques and Sobolev inequalities, we prove that the blow-up does occur on some certain conditions of the data. In addition, we obtain upper bounds and lower bounds of the blow-up time in . Rn (n >= 2).
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