ABSTRACT
This paper deals with blow-up and quenching solutions of degenerate parabolic problem involving m-Laplacian operator and nonlinear boundary flux. The blow-up and quenching criteria are classified under the conditions on the initial data but with less conditions on the relationship among the exponents, respectively. Moreover, asymptotic properties including singular rates, set and time estimates are determined for the blow-up solutions and the quenching solutions, respectively.
Acknowledgments
The authors would like to thank the anonymous Referees and the Editors for valuable and constructive suggestions improving the first version of this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.