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      Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior

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      International Journal of Differential Equations
      Hindawi Limited

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          Abstract

          We study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method. The main results of the present paper are new and extend some previous results in the literature.

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          Most cited references28

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          On solutions of δu=f(u)

          J Keller (1957)
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            On the inequality Δu≥f(u)

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              ‘Large’ solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour

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                Author and article information

                Journal
                International Journal of Differential Equations
                International Journal of Differential Equations
                Hindawi Limited
                1687-9643
                1687-9651
                2010
                2010
                : 2010
                :
                : 1-17
                Article
                10.1155/2010/104625
                39c6f6aa-938e-43aa-abe5-a68d927467f5
                © 2010

                http://creativecommons.org/licenses/by/3.0/

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