Analyse précisée d'équations semi-linéaires elliptiques sur l'espace hyperbolique et application à la courbure scalaire conforme

Erwann Delay

Bulletin de la Société Mathématique de France (1997)

  • Volume: 125, Issue: 3, page 345-381
  • ISSN: 0037-9484

How to cite

top

Delay, Erwann. "Analyse précisée d'équations semi-linéaires elliptiques sur l'espace hyperbolique et application à la courbure scalaire conforme." Bulletin de la Société Mathématique de France 125.3 (1997): 345-381. <http://eudml.org/doc/87769>.

@article{Delay1997,
author = {Delay, Erwann},
journal = {Bulletin de la Société Mathématique de France},
keywords = {semilinear elliptic equations; hyperbolic space; conformal metric},
language = {fre},
number = {3},
pages = {345-381},
publisher = {Société mathématique de France},
title = {Analyse précisée d'équations semi-linéaires elliptiques sur l'espace hyperbolique et application à la courbure scalaire conforme},
url = {http://eudml.org/doc/87769},
volume = {125},
year = {1997},
}

TY - JOUR
AU - Delay, Erwann
TI - Analyse précisée d'équations semi-linéaires elliptiques sur l'espace hyperbolique et application à la courbure scalaire conforme
JO - Bulletin de la Société Mathématique de France
PY - 1997
PB - Société mathématique de France
VL - 125
IS - 3
SP - 345
EP - 381
LA - fre
KW - semilinear elliptic equations; hyperbolic space; conformal metric
UR - http://eudml.org/doc/87769
ER -

References

top
  1. [A] AUBIN (Th). — Nonlinear analysis on manifold. Monge-Ampère Equations. — Springer-Verlag, 1982. Zbl0512.53044
  2. [AO] AVILES (P) and MCOWEN (R.). — Conformal deformations of complete manifolds with negative curvature, J. Diff. Geom., t. 21, 1985, p. 269-281. Zbl0588.53028MR87e:53058
  3. [BE] BESSE (A). — Einstein manifolds. — Springer-Verlag, 1987. Zbl0613.53001MR88f:53087
  4. [CCY] CHEN (C.Y), CHEN (K.S.) and YU (W.N.). — Conformal Deformations of Metrics on Hn (-1) with Prescribed Scalar Curvature, Chinese J. Math., t. 16, n° 3, 1988, p. 157-187. Zbl0676.53049
  5. [GT] GILBARG (D) and TRUDINGER (N.S.). — Elliptic Partial Differential Equations of Second Order. — Springer-Verlag, 2nd edition, 1983. Zbl0562.35001MR86c:35035
  6. [GL] GRAHAM (C.R) and LEE (J.M.). — Einstein metrics with prescribed infinity on the ball, Adv. in Math., t. 87, n° 2, 1991, p. 186-225. Zbl0765.53034MR92i:53041
  7. [L] LEUNG (M.C). — Pinching theorem on asymptotically hyperbolic spaces, Internat. J. Math., t. 4, n° 5, 1993, p. 841-857. Zbl0810.53032MR94j:53046
  8. [LTY] LI (P), TAM (L.F.) and YANG (D.G.). — On the elliptic equations Δu + ku-Kup = 0 on complete Riemannian manifolds and their geometric applications, preprint 1994. 
  9. [MO1] MIN-OO (M). — Scalar curvature rigidity of asymptotically hyperbolic spin manifolds, Math. Ann., t. 285, 1989, p. 527-539. Zbl0686.53038MR91b:53047
  10. [MO2] MIN-OO (M). — Erratum, en préparation, 1997. 
  11. [N] NI (W.-M). — On the elliptic equation Δu + K(x)un+2/n-2 = 0 its generalisation, and application in geometry, Indiana. Univ. Math. J., t. 31, n° 4, 1982, p. 493-529. Zbl0496.35036MR84e:35049
  12. [RRV] RATTO (A), RIGOLI (M.) and VERON (L.). — Scalar curvature and conformal deformations of noncompact Riemannian manifolds, preprint 1995. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.