Global existence and blow-up results for p-Laplacian parabolic problems under nonlinear boundary conditions

Abstract This paper is devoted to studying the global existence and blow-up results for the following p-Laplacian parabolic problems: {(h(u))t=∇⋅(|∇u|p−2∇u)+f(u)in D×(0,t∗),∂u∂n=g(u)on ∂D×(0,t∗),u(x,0)=u0(x)≥0in D‾. $$\textstyle\begin{cases} (h(u) )_{t} =\nabla\cdot (|\nabla u|^{p-2}\nabla u )+f(u)...

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Bibliographic Details
Main Author: Juntang Ding
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1665-3