Non-extinction of solutions to a fast diffusive p-Laplace equation with Neumann boundary conditions

作者：Guo, Bin; Gao, Wenjie^*

来源：Journal of Mathematical Analysis and Applications, 2015, 422(2): 1527-1531.

DOI：10.1016/j.jmaa.2014.09.006

• p-Laplace equation
• Non-extinction
• Changing sign solution

In this note, the authors establish a non-extinction result for the changing sign solution with negative initial energy by discussing a suitable differential inequality. The result gives an answer to the problem unsolved in Qu, Bai, Zheng (2014) [1]. Two examples are given in the paper to show the existence of the initial datum with negative initial energy.

• 出版日期2015-2-15
• 单位吉林大学