A geometric and analytic approach to some problems associated with Emden equations

Laurent Véron

Banach Center Publications (1992)

  • Volume: 27, Issue: 2, page 499-509
  • ISSN: 0137-6934

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Véron, Laurent. "A geometric and analytic approach to some problems associated with Emden equations." Banach Center Publications 27.2 (1992): 499-509. <http://eudml.org/doc/262742>.

@article{Véron1992,
author = {Véron, Laurent},
journal = {Banach Center Publications},
language = {eng},
number = {2},
pages = {499-509},
title = {A geometric and analytic approach to some problems associated with Emden equations},
url = {http://eudml.org/doc/262742},
volume = {27},
year = {1992},
}

TY - JOUR
AU - Véron, Laurent
TI - A geometric and analytic approach to some problems associated with Emden equations
JO - Banach Center Publications
PY - 1992
VL - 27
IS - 2
SP - 499
EP - 509
LA - eng
UR - http://eudml.org/doc/262742
ER -

References

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  2. [2] M. Berger, P. Gauduchon et E. Mazet, Le spectre d'une variété riemannienne, Lecture Notes in Math. 194, Springer, 1971. Zbl0223.53034
  3. [3] M. F. Bidaut-Véron and L. Véron, Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations, Invent. Math. 106 (1991), 489-539. 
  4. [4] L. A. Caffarelli, B. Gidas and J. Spruck, Asymptotic symmetry and local behaviour of semilinear elliptic equations with critical Sobolev growth, Comm. Pure Appl. Math. 42 (1989), 271-297. Zbl0702.35085
  5. [5] S. Chandrasekhar, An Introduction to the Study of Stellar Structure, Dover, 1967. 
  6. [6] S. Y. A. Chang and P. C. Yang, Prescribing Gaussian curvature on S², Acta Math. 159 (1987), 215-259. Zbl0636.53053
  7. [7] V. R. Emden, Gaskugeln, Teubner, Leipzig 1897. 
  8. [8] R. H. Fowler, Further studies of Emden's and similar differential equations, Quart. J. Math. Oxford Ser. 2 (1931), 259-288. Zbl0003.23502
  9. [9] B. Gidas and J. Spruck, Global and local behavior of positive solutions of nonlinear elliptic equations, Comm. Pure Appl. Math. 34 (1981), 525-598. Zbl0465.35003
  10. [10] H. Hamza and S. Ilias, private communication and detailed paper, to appear. 
  11. [11] M. Obata, The conjectures on conformal transformations of Riemannian manifolds, J. Differential Geom. 6 (1971), 247-258. Zbl0236.53042
  12. [12] P. H. Rabinowitz, Minimax Methods in Critical Point Theory with Applications to Differential Equations, CBMS Regional Conf. Ser. in Math. 65, Amer. Math. Soc., 1984. 
  13. [13] L. Simon, Asymptotics for a class of nonlinear evolution equations with applications to geometric problems, Ann. of Math. 118 (1983), 525-571. Zbl0549.35071
  14. [14] L. Simon, Isolated singularities of extrema of geometric variational problems, in: Harmonic Mappings and Minimal Immersions, Lecture Notes in Math. 1161, Springer, 1985, 206-277. 
  15. [15] L. Simon, Entire solutions of the minimal surface equation, J. Differential Geom. 30 (1989), 643-688. Zbl0687.53009

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