Document Type
Article
Publication Date
1-2009
Abstract
This paper is contributed to the elliptic equation
(0.1) Δu+K(|x|)up+μf(|x|)=0,
where p>1, x∈Rn, n⩾3, and μ⩾0 is a constant. We study the structure of positive radial solutions of (0.1) and obtain the uniqueness of solution decaying faster than r−m at ∞ if μ is small enough under some assumptions on K and f, where m is the slow decay rate.
Repository Citation
Deng, Y.,
Li, Y.,
& Yang, F.
(2009). A Note on the Positive Solutions of an Inhomogeneous Elliptic Equation on Rn. Journal of Differential Equations, 246 (2), 670-680.
https://corescholar.libraries.wright.edu/math/75
DOI
dx.doi.org/10.1016/j.jde.2008.09.008
Comments
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Differential Equations. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Differential Equations, 246, 2, (January 15, 2009) DOI# 10.1016/j.jde.2008.09.008.