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Dependence of blowup rate of large solutions of semilinear elliptic equations, on the curvature of the boundary.
- Source :
- Complex Variables; 6/10/2004-7/15/2004, Vol. 49 Issue 7-9, p555-570, 16p
- Publication Year :
- 2004
-
Abstract
- Let D be a smooth bounded domain in . Let f be a positive monotone increasing function on which satisfies the Keller-Osserman condition. It is well-known that the solutions of Δ u = f ( u ), which blow up at the boundary behave, to a first order approximation, like a function of dist( x ,∂ D ). In this paper we show that the second order approximation depends on the mean curvature of ∂ D . This paper is an extension of results in [4] which dealt with radially symmetric solutions. It extends also the results in [5] for f = t p . [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
CURVATURE
BOUNDARY value problems
COMPLEX variables
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 02781077
- Volume :
- 49
- Issue :
- 7-9
- Database :
- Complementary Index
- Journal :
- Complex Variables
- Publication Type :
- Academic Journal
- Accession number :
- 14622250
- Full Text :
- https://doi.org/10.1080/02781070410001731729