Blow-up phenomena for p-Laplacian parabolic problems with Neumann boundary conditions

Abstract In this paper, we deal with the blow-up and global solutions of the following p-Laplacian parabolic problems with Neumann boundary conditions: { ( g ( u ) ) t = ∇ ⋅ ( | ∇ u | p − 2 ∇ u ) + k ( t ) f ( u ) in  Ω × ( 0 , T ) , ∂ u ∂ n = 0 on  ∂ Ω × ( 0 , T ) , u ( x , 0 ) = u 0 ( x ) ≥ 0 in ...

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Bibliographic Details
Main Author: Juntang Ding
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-017-0881-y