A class of fast diffusion p-Laplace equation with arbitrarily high initial energy

作者：Han, Yuzhu^*

来源：Comptes Rendus Mecanique, 2018, 346(12): 1153-1158.

DOI：10.1016/j.crme.2018.06.013

• Fast diffusion
• p-Laplace
• High initial energy
• Global existence
• Blow up

In this paper, the authors investigate a class of fast-diffusion p-Laplace equation, which was considered by Li, Han and Li (2016) [1], where, among other things, blow-up in finite time of solutions was proved for positive but suitably small initial energy. Their results will be complemented in this paper in the sense that the existence of finite time blow-up solutions for arbitrarily high initial energy will be proved. Moreover, an abstract criterion for the existence of global solutions that vanish at infinity will also be provided for high initial energy.

• 出版日期2018-12
• 单位吉林大学