Title

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) dt0 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.

Comments

The "Link to Full Text" button on this page loads the open access article version of record, hosted at Elsevier. The publisher retains permissions to re-use and distribute this article.

Reviewed at MR1765572

DOI

10.1006/jdeq.2000.3768

Source Publication

Journal of Differential Equations

Share

COinS