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GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A NONLOCAL EVOLUTION p-LAPLACE SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS 被引量:1

GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A NONLOCAL EVOLUTION p-LAPLACE SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS
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摘要 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. 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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第3期1001-1010,共10页 数学物理学报(B辑英文版)
基金 supported by a grant from the National High Technology Researchand 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 by the 985 program of Jilin University
关键词 evolution p-Laplacian nonlinear boundary value problem nonlinear sources global existence BLOW-UP evolution p-Laplacian nonlinear boundary value problem nonlinear sources global existence blow-up
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