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

doi:10.1016/S0252-9602(11)60292-0

Abstract

Abstract:

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.

Key words: evolution p-Laplacian, nonlinear boundary value problem, nonlinear sources, global existence, blow-up

CLC Number:

35K55

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.

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