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Media type:
E-Article
Title:
GLOBAL AND BLOW-UP SOLUTIONS FOR THE NONLOCAL p-LAPLACIAN EVOLUTION EQUATION WITH WEIGHTED NONLINEAR NONLOCAL BOUNDARY CONDITION
Contributor:
FANG, ZHONG BO;
ZHANG, JIANYUN
Published:
The Rocky Mountain Mathematics Consortium, 2014
Published in:
The Journal of Integral Equations and Applications, 26 (2014) 2, Seite 171-196
Language:
English
ISSN:
0897-3962;
1938-2626
Origination:
Footnote:
Description:
In this paper, we investigate global existence and blow-up properties of nonnegative solutions to a nonlocal p-Laplacian evolution equation with weighted nonlinear nonlocal boundary condition. By using the method of upper and lower solutions, we consider some effects of weight function and nonlinear exponent on the global and blow-up solutions. In addition, we show the blow-up rate estimate, blow-up profile and blow-up set for linear diffusion case.