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Zbl 1005.35038
Yang, Zuodong; Lu, Qishao
Existence of entire explosive positive radial solutions of sublinear elliptic systems.
(English)
[J] Commun. Nonlinear Sci. Numer. Simul. 6, No.2, 88-92 (2001). ISSN 1007-5704

Summary: Our main purpose is to establish the existence of entire explosive positive radial solutions of the quasilinear elliptic system $$\text{div} \bigl(|\nabla u|^{p-2}\nabla u\bigr)= m \bigl(|x|\bigr)v^\alpha,\ x\in\Bbb R^N$$ $$\text {div}\bigl( |\nabla v|^{q-2}\nabla v\bigr)= n\bigl(|x|\bigr) u^\beta,\ x\in \Bbb R^N$$ where $0<\alpha\le p-1$, $0<\beta\le q-1$. The main results of the present paper are new and extend the previously known results [see, for example, {\it A. V. Lair} and {\it A. W. Wood}, J. Differ. Equations 164, No. 2, 380--394 (2000; Zbl 0962.35052)].
MSC 2000:
*35J45 Systems of elliptic equations, general
35A05 General existence and uniqueness theorems (PDE)

Keywords: quasilinear elliptic system; entire explosive positive solution; existence criteria

Citations: Zbl 0962.35052

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