数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (3): 778-790.doi: 10.1016/S0252-9602(11)60275-0

• 论文 • 上一篇    下一篇

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

尹景学1, 金春花2, 1, 杨莹2   

  1. 1. School of Mathematical sciences, South China Normal University, Guangzhou 510631, China;
    2. Department of Mathematics, Jilin University, Changchun 130012, China
  • 收稿日期:2008-11-17 修回日期:2010-04-05 出版日期:2011-05-20 发布日期:2011-05-20
  • 基金资助:

    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).

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).

摘要:

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

关键词: critical exponent, p-Laplacian, global existence, blow-up

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

中图分类号: 

  • 35B33