Abstract
Purchase PDF (124 K)
E-mail Article
Add to my Quick Links
Cited By in Scopus (1)
2, which tends to infinity on ∂
Purchase PDF (109 K)
doi:10.1016/j.jfa.2006.03.010 
Copyright © 2006 Elsevier Inc. All rights reserved.
Symmetry of large solutions of nonlinear elliptic equations in a ball
Received 13 December 2005;
accepted 2 March 2006.
Communicated by H. Brezis.
Available online 2 May 2006.
References and further reading may be available for this article. To view references and further reading you must purchase this article.
Abstract
Let g be a locally Lipschitz continuous real-valued function which satisfies the Keller–Osserman condition and is convex at infinity, then any large solution of −Δu+g(u)=0 in a ball is radially symmetric.
Keywords: Elliptic equations; Boundary blow-up; Keller–Osserman condition; Radial symmetry; Spherical Laplacian
