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

    Access Status
    Fulltext not available
    Authors
    Yang, Y.
    Zhang, Xinguang
    Date
    2012
    Type
    Journal Article
    
    Metadata
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    Citation
    Yang, Y. and Zhang, X. 2012. Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms. Abstract and Applied Analysis. 2012.
    Source Title
    Abstract and Applied Analysis
    Additional URLs
    http://www.hindawi.com/journals/aaa/2012/697565/
    ISSN
    1085-3375
    URI
    http://hdl.handle.net/20.500.11937/7919
    Collection
    • Curtin Research Publications
    Abstract

    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 entire space. The condition on is simple and different to the Keller-Osserman condition.

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