Existence of entire explosive positive radial solutions for a class of quasilinear elliptic systems

By Zuodong Yang. 2003

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Abstract We show the existence of entire explosive positive radial solutions for quasilinear elliptic systems div(|∇u|m−2∇u)=p(|x|)g(v), div(|∇v|n−2∇v)=q(|x|)f(u) on R N , where f and g are positive and non-decreasing functions on (0,∞) satisfying the Keller–Osserman condition.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/693a045000191ed1b1ce9a8bb8edcf2117568c4a