Abstract
The purpose of this paper is to deal with the blow-up problems of the following p-Laplacian parabolic equations with nonlocal boundary conditions:
where p>2,
is a bounded convex region, and the boundary
is smooth. With the help of differential inequality techniques and Sobolev inequalities, we prove that the blow-up does occur on some certain conditions of the data. In addition, we obtain upper bounds and lower bounds of the blow-up time in
.
Acknowledgments
The authors are greatly indebted to the reviewers for many helpful suggestions and comments.
Disclosure statement
No potential conflict of interest was reported by the author(s).