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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)
Publication Information
Journal of applied mathematics & informatics / v.28, no.3_4, 2010 , pp. 625-637 More about this Journal
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
Uasilinear Elliptic systems; blow-up solutions; blow-up rates; lower and upper solutions;
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