Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-04-01

Journal: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Included Journals: Scopus、SCIE

Volume: 412

Issue: 1

Page Number: 326-333

ISSN: 0022-247X

Key Words: p-Laplace equation; Changing sign solution; Global existence; Blow-up; Extinction

Abstract: This paper studies a fast diffusive p-Laplace equation with the nonlocal source vertical bar u vertical bar(q) - f Omega vertical bar u vertical bar(q) dx in a bounded domain, subject to homogeneous Neumann boundary value condition. A critical criterion is determined that the changing sign solutions blow up in finite time with q > 1 and non-positive initial energy associated, and must be global for any initial energy if q <= 1. In particular, the conditions are obtained under which the changing sign solutions vanish in finite time. (C) 2013 Elsevier Inc. All rights reserved.