Remarks on the Yamabe problem and the Palais-Smale condition

D. Fortunato; G. Palmieri

Rendiconti del Seminario Matematico della Università di Padova (1986)

  • Volume: 75, page 47-65
  • ISSN: 0041-8994

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Fortunato, D., and Palmieri, G.. "Remarks on the Yamabe problem and the Palais-Smale condition." Rendiconti del Seminario Matematico della Università di Padova 75 (1986): 47-65. <http://eudml.org/doc/108030>.

@article{Fortunato1986,
author = {Fortunato, D., Palmieri, G.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Yamabe problem; Riemannian manifold; scalar curvature; Palais-Smale condition},
language = {eng},
pages = {47-65},
publisher = {Seminario Matematico of the University of Padua},
title = {Remarks on the Yamabe problem and the Palais-Smale condition},
url = {http://eudml.org/doc/108030},
volume = {75},
year = {1986},
}

TY - JOUR
AU - Fortunato, D.
AU - Palmieri, G.
TI - Remarks on the Yamabe problem and the Palais-Smale condition
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1986
PB - Seminario Matematico of the University of Padua
VL - 75
SP - 47
EP - 65
LA - eng
KW - Yamabe problem; Riemannian manifold; scalar curvature; Palais-Smale condition
UR - http://eudml.org/doc/108030
ER -

References

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  1. [1] T. Aubin, Equations différentielles non linéaires et Problème de Yamabe concernant la courbure scalaire, J. Math. Pure Appl., 55 (1976), pp. 269-296. Zbl0336.53033MR431287
  2. [2] T. Aubin, Espace de Sobolev sur le variétés Riemanniennes, Bull. Sc. Math., 100 (1976), pp. 149-173. Zbl0328.46030MR488125
  3. [3] T. Aubin, Nonlinear Analysis on Manifolds. Monge-Ampère Equations, Springer-Verlag (1982). Zbl0512.53044MR681859
  4. [4] H. Brezis - L. NIRENBERG, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math., 36 (1983), pp. 437-477. Zbl0541.35029MR709644
  5. [5] G. Cerami - D. Fortunato - M. Struvve, Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents, Ann. Inst. H. Poincaré - Nonlinear Analysis, (1984), pp. 341-350. Zbl0568.35039MR779872
  6. [6] R. Palais, Ljusternik-Schnirelman theory on Banach manifold, Topology, 5 (1966), pp. 115-132. Zbl0143.35203MR259955
  7. [7] P.H. Rabinowitz, Variational methods for nonlinear eigenvalue problems, Proceedings of C.I.M.E. (1974), pp. 139-195, G. Prodi Editor. MR464299
  8. [8] G. Talenti, Best constant in Sobolev inequatity, Ann. Math. Pura Appl., 110 (1976), pp. 353-372. Zbl0353.46018MR463908
  9. [9] N. Trüdinger, Remarks concerning the conformal deformation of Riemannian structures on compact manifolds, Ann. Sc. Norm. Sup. Pisa, 22 (1968), pp. 265-274. Zbl0159.23801MR240748
  10. [10] M. Vaugon, Equations differentielles non linéaires sur les variétés riemanniennes compactes, Bull. Sci. Math., II Sér. 107 (1983) pp, 371-391. Zbl0531.58051MR732358
  11. [11] H. Yamabe, On the deformation of Riemannian structures on compact manifolds, Osaka Math. J., 12 (1960), pp. 21-37. Zbl0096.37201MR125546

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