Nonuniqueness of solutions of initial-value problems for parabolic p-Laplacian

We construct a positive solution to a quasilinear parabolic problem in a bounded spatial domain with the p-Laplacian and a nonsmooth reaction function. We obtain nonuniqueness for zero initial data. Our method is based on sub- and supersolutions and the weak comparison principle. Using the meth...

Full description

Bibliographic Details
Main Authors: Jiri Benedikt, Vladimir E. Bobkov, Petr Girg, Lukas Kotrla, Peter Takac
Format: Article
Language:English
Published: Texas State University 2015-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/38/abstr.html