Nonexistence of Positive Solutions to an Elliptic System and Blow-Up Rate for a Parabolic System

DOI

10.2991/eame-15.2015.189How to use a DOI?

Keywords

elliptic system; parabolic system; blow-up; blow-up rate; nonexistence

Abstract

We first get the conditions under which the elliptic system- ui = upi+1, us+1 = u1(i=1,2,…,s) has no positive radially symmetric solutions. Then by using this nonexistence result, we establish blow-up estimates for semilinear reaction-diffusion system uit = ui+upi+1 , us+1 =u1(i=1,2,…,s) with null Dirichlet boundary conditions. The results of our paper with the those in Wang (Comp and Math with Appl, 44, 573-585, 2002) are same, but our methods of proofs are entirely different, even easier than that used.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Z.Q. Ling
PY  - 2015/07
DA  - 2015/07
TI  - Nonexistence of Positive Solutions to an Elliptic System and Blow-Up Rate for a Parabolic System
BT  - Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering
PB  - Atlantis Press
SP  - 694
EP  - 697
SN  - 2352-5401
UR  - https://doi.org/10.2991/eame-15.2015.189
DO  - 10.2991/eame-15.2015.189
ID  - Ling2015/07
ER  -