Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition

Abstract

This paper deals with a nonlinear $p$-Laplacian equation with singular boundary conditions. Under proper conditions, the solution of this equation quenches in finite time and the only quenching point thatis $x=1$ are obtained. Moreover, the quenching rate of this equation is established. Finally, we give an example of an application of our results.