Acta mathematica scientia, Series B >
GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A NONLOCAL EVOLUTION p-LAPLACE SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS
Received date: 2009-03-25
Online published: 2011-05-20
Supported by
The project is supported by a grant from the National High Technology Research and Development Program of China (863 Program) (2009AA044501) by NSFC (10776035; 10771085), by Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education and by the 985 program of Jilin University.
In this paper, the authors discuss the global existence and blow-up of the solution to an evolution p-Laplace system with nonlinear sources and nonlinear boundary condition. The authors first establish the local existence of solutions, then give a necessary and sufficient condition on the global existence of the positive solution.
WU Xue-Song , GAO Wen-Jie , CAO Jian-Wen . GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A NONLOCAL EVOLUTION p-LAPLACE SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS[J]. Acta mathematica scientia, Series B, 2011 , 31(3) : 1001 -1010 . DOI: 10.1016/S0252-9602(11)60292-0
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