Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    The existence and nonexistence of entire positive solutions of semilinear elliptic systems with gradient term

    Access Status
    Open access via publisher
    Authors
    Zhang, Xinguang
    Liu, L.
    Date
    2010
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Zhang, X. and Liu, L. 2010. The existence and nonexistence of entire positive solutions of semilinear elliptic systems with gradient term. Journal of Mathematical Analysis and Applications. 371 (1): pp. 300-308.
    Source Title
    Journal of Mathematical Analysis and Applications
    DOI
    10.1016/j.jmaa.2010.05.029
    ISSN
    0022247X
    URI
    http://hdl.handle.net/20.500.11937/44021
    Collection
    • Curtin Research Publications
    Abstract

    We show the existence and nonexistence of entire positive solutions for semilinear elliptic system with gradient term ?u+|?u|=p(|x|)f(u,v)?u+|?u|=p(|x|)f(u,v), ?v+|?v|=q(|x|)g(u,v)?v+|?v|=q(|x|)g(u,v) on RNRN, N?3N?3, provided that nonlinearities f and g are positive and continuous, the potentials p and q are continuous, c-positive and satisfy appropriate growth conditions at infinity. We find that entire large positive solutions fail to exist if f and g are sublinear and p and q have fast decay at infinity, while if f and g satisfy some growth conditions at infinity, and p, q are of slow decay or fast decay at infinity, then the system has infinitely many entire solutions, which are large or bounded.

    Related items

    Showing items related by title, author, creator and subject.

    • Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms
      Yang, Y.; Zhang, Xinguang (2012)
      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 ...
    • Continuous gain scheduled h-infinity observer for uncertain nonlinear system with time-delay and actuator saturation
      Liu, Y.; Yin, YanYan; Liu, F. (2012)
      In this paper, we propose a method for designing continuous gain scheduled H-infinity observer for uncertain nonlinear continuous stirred-tank reactor system subject to time-delay and actuator saturation. Initially, ...
    • Stochastic Optimization over a Pareto Set Associated with a Stochastic Multi-Objective Optimization Problem
      Bonnel, Henri; Collonge, J. (2014)
      We deal with the problem of minimizing the expectation of a real valued random function over the weakly Pareto or Pareto set associated with a Stochastic Multi-objective Optimization Problem, whose objectives are expectations ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.