Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

EXISTENCE OF SOLUTIONS FOR BOUNDARY BLOW-UP QUASILINEAR ELLIPTIC SYSTEMS

  • Miao, Qing (School of Mathematics and Computer Science, Yunnan Nationality University) ;
  • Yang, Zuodong (School of Zhongbei, Nanjing Normal University)
  • Received : 2009.07.21
  • Accepted : 2009.09.12
  • Published : 2010.05.30
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Abstract

In this paper, we are concerned with the quasilinear elliptic systems with boundary blow-up conditions in a smooth bounded domain. Using the method of lower and upper solutions, we prove the sufficient conditions for the existence of the positive solution. Our main results are new and extend the results in [Mingxin Wang, Lei Wei, Existence and boundary blow-up rates of solutions for boundary blow-up elliptic systems, Nonlinear Analysis(In Press)].

Keywords

Acknowledgement

Supported by : National Science Foundation of China, Natural Science Foundation of the Jiangsu Higher Education Institutions of China

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