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

doi:10.1016/S0252-9602(11)60275-0

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

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

尹景学¹, 金春花^{2, 1}, 杨莹²

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-Hua^{2, 1}, YANG Ying²

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/Abstract

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

尹景学, 金春花, 杨莹. CRITICAL EXPONENTS OF EVOLUTIONARY p-LAPLACIAN WITH INTERIOR AND BOUNDARY SOURCES[J]. 数学物理学报(英文版), 2011, 31(3): 778-790.

YIN Jing-Hua, JIN Chun-Hua, YANG Ying. CRITICAL EXPONENTS OF EVOLUTIONARY p-LAPLACIAN WITH INTERIOR AND BOUNDARY SOURCES[J]. Acta mathematica scientia,Series B, 2011, 31(3): 778-790.

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

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

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