带梯度项的p-Laplacian方程整体解的不存在性

摘要

In this paper,we investigate the Cauchy problem for a family of p-Laplacian equations with nonlinear gradient term,under the careful choosing of the test function,the nonexistence of global solutions of the Cauchy problem is proved by using the energy method and inequality technic.%研究一类带非线性梯度项的p-Laplacian方程Canchy问题,通过对试验函数的精细选取,利用能量估计方法和不等式技巧,证明了问题非平凡非负整体解的不存在性.