摘要
We study the global nonexistence of the solutions of the nonlinear q-Laplacian wave equation utt-△qu＋（-△）^αut=｜u｜^p-2u, where 0 〈 α ≤ 1, 2 ≤ q 〈 p. We obtain that the solution blows up in finite time if the initial energy is negative. Meanwhile, we also get the solution blows up in finite time with suitable positive initial energy under some conditions.
基金
This work is supported in part by NSF of China No.10571087, SRFDP（No. 20050319001）, Natural Science Foundation of Jiangsu Province BK2006523, Natural Science Foundation of Jiangsu Education Commission No. 05KJB110063 and the Teaching and Research Award Program for 0utstanding Young Teachers in Nanjing Normal University（2005-2008）.
