On the extinction problem for a p-Laplacian equation with a nonlinear gradient source

Abstract

We deal with the extinction properties of the weak solutions for a p-Laplacian equation with a gradient nonlinearity. The critical extinction exponent is specified and the decay estimates of the extinction solutions are given.

Keywords

• extinction
• non-extinction
• p-laplacian equation
• nonlinear gradient source
• 35k20
• 35k55