SINGULAR SOLUTIONS ON A SUBMANIFOLD OF NONLINEAR ELLIPTIC-EQUATIONS

Authors
GRILLOT M
Citation
M. Grillot, SINGULAR SOLUTIONS ON A SUBMANIFOLD OF NONLINEAR ELLIPTIC-EQUATIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(1), 1996, pp. 49-54
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
1
Year of publication
1996
Pages
49 - 54
Database
ISI
SICI code
0764-4442(1996)322:1<49:SSOASO>2.0.ZU;2-0
Abstract
We prove existence and uniqueness of solutions of the equation -Delta mu + \mu\(q-1) mu = 0, q > 1, which are singular on some submanifold, this is done by studying the asymptotic behaviour of u near its singul arities.