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Existence of entire explosive positive radial solutions for a class of quasilinear elliptic systems
Authors:Zuodong Yang
Institution:School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu, Nanjing 210097, China
Abstract:We show the existence of entire explosive positive radial solutions for quasilinear elliptic systems div(|∇u|m−2u)=p(|x|)g(v), div(|∇v|n−2v)=q(|x|)f(u) on View the MathML source, where f and g are positive and non-decreasing functions on (0,∞) satisfying the Keller-Osserman condition.
Keywords:Entire  Explosive  Keller-Osserman condition  Positive solution  Quasilinear elliptic system  Radial solution
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