10.1006/jdeq.2000.3768">
 

Existence of Entire Large Positive Solutions of Semilinear Elliptic Systems

Document Type

Article

Publication Date

7-1-2000

Abstract

We show that entire large positive radial solutions exist for the semilinear elliptic system Δu=p(|x|) vα, Δv=q(|x|) uβ on RN, N⩾3, for positive α and β, provided that the nonnegative functions p and q are continuous, c-positive, and satisfy the decay conditions ∫∞0 tp(t) dt∞0 tq(t) dtα and β greater than unity, and ∫∞0 tp(t) dt=∞ and ∫∞0 tq(t) dt=∞ if neither α nor β is greater than one.

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©2000 by Academic Press. All rights of reproduction in any form reserved.

Reviewed at MR1765572

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Source Publication

Journal of Differential Equations (ISSN 0022-0396 | eISSN 1090-2732)

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