𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on extinction for fast diffusive p-Laplacian with sources

✍ Scribed by Wenjun Liu; Bin Wu

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
56 KB
Volume
31
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this note we illuminate that the small condition on initial data u~0~ in Theorem 4.1 of Yin and Jin (Math. Meth. Appl. Sci. 2007; 30(10):1147–1167) can be removed for the case pβˆ’1<q<1. Precise decay estimates of solution are also obtained. Copyright Β© 2007 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

A note on blow-up for fast diffusive p-L
A note on blow-up for fast diffusive p-Laplacian with sources
✍ Wenjun Liu πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 63 KB

## Abstract In this note we improve the result of Theorem 3.1 in Yin and Jin (__Math. Meth. Appl. Sci__. 2007; **30**(10):1147–1167) and establish a blow‐up result for certain solution with positive initial energy. Copyright Β© 2008 John Wiley & Sons, Ltd.

Critical extinction and blow-up exponent
Critical extinction and blow-up exponents for fast diffusive p-Laplacian with sources
✍ Jingxue Yin; Chunhua Jin πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 185 KB

## Abstract We discuss and determine the critical extinction and blow‐up exponents for the homogeneous Dirichlet boundary value problem of the fast diffusive __p__‐Laplacian with sources. Copyright Β© 2007 John Wiley & Sons, Ltd.

On the Number and Structure of Solutions
On the Number and Structure of Solutions for a Fredholm Alternative with the p-Laplacian
✍ Peter TakΓ‘c πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 401 KB

We investigate the existence and multiplicity of weak solutions u 2 W 1;p 0 ðOÞ to the degenerate quasilinear Dirichlet boundary value problem where z 2 R is a parameter. It is assumed that 1opo1; p=2; and O is a bounded domain in R N : The number l 1 stands for the first (smallest) eigenvalue of t

A Note on the Propagation Speed of Trave
A Note on the Propagation Speed of Travelling Waves for a Lotka–Volterra Competition Model with Diffusion
✍ Yukio Kan-on πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 120 KB

This paper is concerned with the propagation speed of positive travelling waves for a Lotka᎐Volterra competition model with diffusion. We show that under a certain boundary condition, the propagation speed of the travelling wave is equal to 0. To do this, we employ the method of moving planes propos