A condition for blow-up solutions to discrete p-Laplacian parabolic equations under the mixed boundary conditions on networks

Abstract In this paper, we investigate the condition ( C p ) α ∫ 0 u f ( s ) d s ≤ u f ( u ) + β u p + γ , u > 0 $$(C_{p})\quad \alpha \int _{0}^{u}f(s)\,ds \leq uf(u)+\beta u^{p}+\gamma ,\quad u>0 $$ for some α > 2 $\alpha >2$ , γ > 0 $\gamma >0$ , and 0 ≤ β ≤ ( α − p ) λ p , 0 p...

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Bibliographic Details
Main Authors: Soon-Yeong Chung, Min-Jun Choi, Jaeho Hwang
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-01294-3