Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103002
Title: Combining solutions of semilinear partial differential equations in ℝn with critical sobolev exponent
Authors: Leung, M.C. 
Keywords: Combining solutions
Scalar curvature equation
Slow decay
Issue Date: 2004
Citation: Leung, M.C. (2004). Combining solutions of semilinear partial differential equations in ℝn with critical sobolev exponent. Communications in Partial Differential Equations 29 (5-6) : 763-784. ScholarBank@NUS Repository.
Abstract: We consider a positive C2-function u in ℝn which is equal to two different spherical solutions respectively in two disjoint domains. u satisfies the equation Δu + n(n - 2)Ku n+2/n-2 = 0 in ℝn. By a result of Gidas, Ni and Nirenberg, K ≢ 1 in ℝn. In this paper we discuss lower bounds on supℝn |K - 1|. The estimates are applied to study blow-up solutions and interaction of bubbles.
Source Title: Communications in Partial Differential Equations
URI: http://scholarbank.nus.edu.sg/handle/10635/103002
ISSN: 03605302
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

20
checked on Sep 28, 2018

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.