Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms

We study the existence of entire positive solutions for the semilinear elliptic system with quadratic gradient terms, for on and . We establish the conditions on that ensure the existence of nonnegative radial solutions blowing up at infinity and also the conditions for bounded solutions on the...

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Bibliographic Details
Main Authors: Yongju Yang, Xinguang Zhang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/697565