Perturbations of Paneitz-Branson operators on S n

Pierpaolo Esposito

Rendiconti del Seminario Matematico della Università di Padova (2002)

  • Volume: 107, page 165-184
  • ISSN: 0041-8994

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Esposito, Pierpaolo. "Perturbations of Paneitz-Branson operators on $S^n$." Rendiconti del Seminario Matematico della Università di Padova 107 (2002): 165-184. <http://eudml.org/doc/108576>.

@article{Esposito2002,
author = {Esposito, Pierpaolo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {165-184},
publisher = {Seminario Matematico of the University of Padua},
title = {Perturbations of Paneitz-Branson operators on $S^n$},
url = {http://eudml.org/doc/108576},
volume = {107},
year = {2002},
}

TY - JOUR
AU - Esposito, Pierpaolo
TI - Perturbations of Paneitz-Branson operators on $S^n$
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2002
PB - Seminario Matematico of the University of Padua
VL - 107
SP - 165
EP - 184
LA - eng
UR - http://eudml.org/doc/108576
ER -

References

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  2. [AmBa] A. AMBROSETTI - M. BADIALE, Variational perturbative methods and bifurcation of bound states from the essential spectrum, Proc. Royal Soc. Edinburgh, 128A (1998), pp. 1131-1161. Zbl0928.34029MR1664089
  3. [BaCo] A. BAHRI - J. M. CORON, The scalar curvature problem on the standard three-dimensional sphere, J. Funct. Anal., 95 (1991), pp. 106-172. Zbl0722.53032MR1087949
  4. [Ber] M. BERGER - P. GAUDUCHON - E. MAZET, Le spectre d’une variété Riemannienne, Lecture Note in Mathematics, 194, 1971, Springer-Verlag, New-York/Berlin. Zbl0223.53034MR282313
  5. [BVV] M. BIDAUT-VERON - L. VERON, Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations, Inventiones Mathematicae, 106 (1991), pp. 489-539. Zbl0755.35036MR1134481
  6. [Bra] T. P. BRANSON, Group representations arising from Lorentz conformal geometry, J. Funct. Anal., 74 (1987), pp. 199-291. Zbl0643.58036MR904819
  7. [CGY] S. A. CHANG - M. J. GURSKY - P. YANG, The scalar curvature equation on 22 and 3-spheres, Calc. Var., 1 (1993), pp. 205-229. Zbl0822.35043MR1261723
  8. [CY1] S. A. CHANG - P. YANG, A perturbation result in prescribing scalar curvature on Sn , Duke Math. Journal, 1/64 (1991), pp. 27-69. Zbl0739.53027MR1131392
  9. [CY2] S. A. CHANG - P. YANG, Prescribing Gaussian curvature on S2 , Acta Math., 159 (1987), pp. 215-259. Zbl0636.53053MR908146
  10. [DHL] Z. DJADLI - E. HEBEY - M. LEDOUX, Paneitz-type operators and applications, Duke Math. Journal, 1/104 (2000), pp. 129-169. Zbl0998.58009MR1769728
  11. [Esp] P. ESPOSITO, Uniqueness and multiplicity for perturbations of Yamabe problem on Sn , Rend. Istit. Mat. Univ. Trieste, 32 (2000), pp. 139-146. Zbl0998.58015MR1828566
  12. [Mal] A. MALCHIODI, Some existence results for the scalar curvature problem via Morse theory, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 10, no. 4 (1999), pp. 267-270. Zbl1021.53022MR1767933
  13. [Mil] J. MILNOR, Morse theory, Princeton University Press, 1963. Zbl0108.10401MR163331
  14. [Pan] S. PANEITZ, A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds, preprint, 1983. Zbl1145.53053
  15. [VDV] R. C. A. M. VAN DER VORST, Best constants for the embedding of the space H2 OH0 1 (V) into L 2N N24 (V), Differential Integral Equations, 6 (1993), pp. 259-276. Zbl0801.46033MR1195382

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