Mountain pass theorems and global homeomorphism theorems

Guy Katriel

Annales de l'I.H.P. Analyse non linéaire (1994)

  • Volume: 11, Issue: 2, page 189-209
  • ISSN: 0294-1449

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Katriel, Guy. "Mountain pass theorems and global homeomorphism theorems." Annales de l'I.H.P. Analyse non linéaire 11.2 (1994): 189-209. <http://eudml.org/doc/78328>.

@article{Katriel1994,
author = {Katriel, Guy},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {mountain-pass theorems; global homeomorphism theorems},
language = {eng},
number = {2},
pages = {189-209},
publisher = {Gauthier-Villars},
title = {Mountain pass theorems and global homeomorphism theorems},
url = {http://eudml.org/doc/78328},
volume = {11},
year = {1994},
}

TY - JOUR
AU - Katriel, Guy
TI - Mountain pass theorems and global homeomorphism theorems
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1994
PB - Gauthier-Villars
VL - 11
IS - 2
SP - 189
EP - 209
LA - eng
KW - mountain-pass theorems; global homeomorphism theorems
UR - http://eudml.org/doc/78328
ER -

References

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  1. [1] H. Brezis and L. Nirenberg, Remarks on Finding Critical Points, Comm. Pure Appl. Math., Vol. 44, 1991, pp.939-963. Zbl0751.58006MR1127041
  2. [2] F.E. Browder, Covering Spaces, Fiber Spaces and Local Homeomorphisms, Duke Math. J., Vol. 21, 1954, pp. 329-336. Zbl0056.16602MR62431
  3. [3] C.O. Christenson and W.L. Voxman, Aspects of Topology, Marcel Dekker, New York, 1977. Zbl0347.54001MR487938
  4. [4] I. Ekeland, Nonconvex Minimization Problems, Bull. Amer. Math. Soc., Vol. 1, 1979, pp. 443-474. Zbl0441.49011MR526967
  5. [5] H. Hofer, A Geometric Description of the Neighborhood of a Critical Point Given by the Mountain-Pass Theorem, J. London Math. Soc., (2), Vol. 31, 1985, pp. 566-570. Zbl0573.58007MR812787
  6. [6] A.D. Ioffe, Global Surjection and Global Inverse Mapping Theorems in Banach Spaces, Annals of the New York Academy of Sciences, Vol. 491, 1987, pp. 181-188. Zbl0709.47054MR927780
  7. [7] A.D. Ioffe and E. Schwartzman, Morse Regularity, Stability of Minima and Sufficiency in Extremal Problems, Preprint. 
  8. [8] J. Mawhin and M. Willem, Critical Point Theory and Hamiltonian Systems, Springer Verlag, New York, 1989. Zbl0676.58017MR982267
  9. [9] R. Plastock, Homeomorphisms Between Banach Spaces, Trans. Am. Math. Soc., Vol. 200, 1974, pp. 169-183. Zbl0291.54009MR356122
  10. [10] M. Schechter, A Variation of the Mountain Pass Lemma and Applications, J. London Math. Soc., (2), Vol. 44, 1991, pp. 491-502. Zbl0756.35032MR1149010
  11. [11] J.T. Schwartz, Nonlinear Functional Analysis, Gordon and Breach, New York, 1969. Zbl0203.14501MR433481
  12. [12] E.H. Spanier, Algebraic Topology, McGraw Hill, New York, 1966. Zbl0145.43303MR210112
  13. [13] A. Ya Zaslavskii, Critical Points of Lipschitz Functions on Smooth Manifolds, Siberian Math. J., Vol. 22, 1981, pp. 63-68. Zbl0568.58011MR605810

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