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Indexed by:期刊论文

Date of Publication:2014-04-01

Journal:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Included Journals:SCIE、Scopus

Volume:412

Issue:1

Page Number:326-333

ISSN No.: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.