ASYMPTOTIC-BEHAVIOR OF SOLUTIONS AND THEIR DERIVATIVES, FOR SEMILINEAR ELLIPTIC PROBLEMS WITH BLOWUP ON THE BOUNDARY

Authors
BANDLE C MARCUS M
Citation
C. Bandle et M. Marcus, ASYMPTOTIC-BEHAVIOR OF SOLUTIONS AND THEIR DERIVATIVES, FOR SEMILINEAR ELLIPTIC PROBLEMS WITH BLOWUP ON THE BOUNDARY, Annales de l Institut Henri Poincare. Analyse non lineaire, 12(2), 1995, pp. 155-171
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Annales de l Institut Henri Poincare. Analyse non lineaire → ACNP
ISSN journal
02941449
Volume
12
Issue
2
Year of publication
1995
Pages
155 - 171
Database
ISI
SICI code
0294-1449(1995)12:2<155:AOSATD>2.0.ZU;2-I
Abstract
By means of comparison functions the asymptotic behaviour of solutions of semilinear elliptic equations which blow up at the boundary is est ablished, The results depend only on the principal part of the second order operator and can be expressed in a simple way in terms of the as sociated Riemannian metric. In order to discuss the asymptotic behavio ur of the derivatives a blowup technique together with a scaling argum ent is used.