Remarks concerning the conformal deformation of riemannian structures on compact manifolds

Neil S. Trudinger

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1968)

  • Volume: 22, Issue: 2, page 265-274
  • ISSN: 0391-173X

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Trudinger, Neil S.. "Remarks concerning the conformal deformation of riemannian structures on compact manifolds." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.2 (1968): 265-274. <http://eudml.org/doc/83458>.

@article{Trudinger1968,
author = {Trudinger, Neil S.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {differential geometry},
language = {eng},
number = {2},
pages = {265-274},
publisher = {Scuola normale superiore},
title = {Remarks concerning the conformal deformation of riemannian structures on compact manifolds},
url = {http://eudml.org/doc/83458},
volume = {22},
year = {1968},
}

TY - JOUR
AU - Trudinger, Neil S.
TI - Remarks concerning the conformal deformation of riemannian structures on compact manifolds
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1968
PB - Scuola normale superiore
VL - 22
IS - 2
SP - 265
EP - 274
LA - eng
KW - differential geometry
UR - http://eudml.org/doc/83458
ER -

References

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  1. [1] T. Aubin.Sur la courbure scalaire des variétés riemanniennes compactes. C. R. Acad. Sci. Paris, Vol. 262, 1966 pp. A 130-133. Zbl0139.39104MR195027
  2. [2] L. Bers, F. John and M. Schechter.Partial differential equations, Part. II. New York, 1964. Zbl0126.00207MR163043
  3. [3] J. Moser.On Harnack's theorem for elliptic differential equations, Comm. Pure Appl. Math., Vol. 14, 1961, pp. 577-591. Zbl0111.09302MR159138
  4. [4] S.I. Pohozakv.Eigenfunctions of the equation Δu + λf(u) = 0, Dokl. Akad. Nauk. SSSR, Vol. 165, 1965 pp. 33-36. 
  5. [5] J. Serrin.Local behaviour of solutions of quasilinear equations, Acta Math. Vol. 113, 1965 pp. 219-240. Zbl0173.39202MR176219
  6. [6] S.L. Sobolev.Some applications of functional analysis in mathematical physics, Transl. Math. Monographs, Vol. 7, Amer. Math. Soc., Providence, R. I., 1963. Zbl0123.09003
  7. [7] N.S. Trudinger.On Harnack type inequalities and their application to quasilinear elliptic equations. Comm. Pure Appl. Math., Vol. 20, 1967, pp. 721-747. Zbl0153.42703MR226198
  8. [8] H. Yamade.On a deformation of Riemannian structures on compact manifolds. Osaka Math. J., Vol. 12, 1960 pp. 21-37. Zbl0096.37201MR125546

Citations in EuDML Documents

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  1. D. Jerison, The Sobolev inequality on the Heisenberg group and the Yamabe problem on CR manifolds (d'après travaux avec J. M. Lee)
  2. P. L. Lions, La méthode de concentration-compacité en calcul des variations
  3. Zindine Djadli, Antoinette Jourdain, Nodal solutions for scalar curvature type equations with perturbation terms on compact Riemannian manifolds
  4. Feida Jiang, Saihua Cui, Gang Li, Nonexistence of entire positive solution for a conformal k -Hessian inequality
  5. D. Fortunato, G. Palmieri, Remarks on the Yamabe problem and the Palais-Smale condition
  6. Giovanna Cerami, Donato Fortunato, Michaël Struwe, Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
  7. Jean René Licois, Laurent Véron, A class of nonlinear conservative elliptic equations in cylinders
  8. A. Benmohamed, L. Robbiano, Exposant critique de Sobolev et régularité des solutions d'équations elliptiques
  9. Gilles Carron, Inégalité de Sobolev et volume asymptotique
  10. Mohammed Benalili, Hichem Boughazi, The second Yamabe invariant with singularities

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