Classes of singular $pq-$Laplacian semipositone systems

Eun Kyoung Lee; R. Shivaji; Jinglong Ye

doi:10.3934/dcds.2010.27.1123

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2010, Volume 27, Issue 3: 1123-1132. Doi: 10.3934/dcds.2010.27.1123

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Classes of singular $pq-$Laplacian semipositone systems

1.
Department of Mathematics and Statistics, Center for Computational Sciences, Mississippi State University, Mississippi State, MS 39762

Received: August 31, 2009

Revised: November 30, 2009

Published: August 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 35J25; Secondary: 35J55.

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