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August  2010, 27(3): 1123-1132. doi: 10.3934/dcds.2010.27.1123

Classes of singular $pq-$Laplacian semipositone systems

Eun Kyoung Lee 1, , R. Shivaji 1, and  Jinglong Ye 1,

1. 

Department of Mathematics and Statistics, Center for Computational Sciences, Mississippi State University, Mississippi State, MS 39762, United States, United States

Received  September 2009 Revised  December 2009 Published  March 2010

We consider the positive solutions to classes of $pq-$Laplacian semipositone systems with Dirichlet boundary conditions, in particular, we study strongly coupled reaction terms which tend to $-\infty$ at the origin and satisfy a combined sublinear condition at $\infty.$ By using the method of sub-super solutions we establish our results.
Keywords: singular semipositone system, sub-super solutions, positive solutions..
Mathematics Subject Classification: Primary: 35J25; Secondary: 35J5.
Citation: Eun Kyoung Lee, R. Shivaji, Jinglong Ye. Classes of singular $pq-$Laplacian semipositone systems. Discrete & Continuous Dynamical Systems, 2010, 27 (3) : 1123-1132. doi: 10.3934/dcds.2010.27.1123
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