Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (3): 778-790.doi: 10.1016/S0252-9602(11)60275-0

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CRITICAL EXPONENTS OF EVOLUTIONARY p-LAPLACIAN WITH INTERIOR AND BOUNDARY SOURCES

 YIN Jing-Hua1, JIN Chun-Hua2, 1, YANG Ying2   

  1. 1. School of Mathematical sciences, South China Normal University, Guangzhou 510631, China;
    2. Department of Mathematics, Jilin University, Changchun 130012, China
  • Received:2008-11-17 Revised:2010-04-05 Online:2011-05-20 Published:2011-05-20
  • Supported by:

    This work is supported by NSFC, Research Fund for the Doctoral Program of Higher Education of China, Fundamental Research Project of Jilin University (200903284) and Graduate Innovation Fund of Jilin University (20101045).

Abstract:

This paper is concerned with the evolutionary p-Laplacian with interior and boundary sources. The critical exponents for the nonlinear sources are determined.

Key words: critical exponent, p-Laplacian, global existence, blow-up

CLC Number: 

  • 35B33
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