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Article
Separation Property of Solutions for a Semilinear Elliptic Equation
Journal of Differential Equations (2000)
  • Yi Liu
  • Yi Li, Wright State University - Main Campus
  • Yinbin Deng
Abstract

In this paper, we study the following elliptic problem[formula]where K(x) is a given function in (n\0) for some fixed α∈(0, 1), p>1 is a constant. Some existence, monotonicity and asymptotic expansion at infinity of solutions of (*) are discussed.

Keywords
  • Positive solutions; Monotonicity; Asymptotic expansion; Elliptic equations
Publication Date
January 1, 2000
Publisher Statement
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, 163, 2, (May 20, 2000) DOI# dx.doi.org/10.1006/jdeq.1999.3735.
Citation Information
Yi Liu, Yi Li and Yinbin Deng. "Separation Property of Solutions for a Semilinear Elliptic Equation" Journal of Differential Equations Vol. 163 Iss. 2 (2000)
Available at: http://works.bepress.com/yi_li/10/