A priori bounds and renormalized Morse indices of solutions of an elliptic system

Sigurd B. Angenent; Robertus van der Vorst

Annales de l'I.H.P. Analyse non linéaire (2000)

  • Volume: 17, Issue: 3, page 277-306
  • ISSN: 0294-1449

How to cite

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Angenent, Sigurd B., and van der Vorst, Robertus. "A priori bounds and renormalized Morse indices of solutions of an elliptic system." Annales de l'I.H.P. Analyse non linéaire 17.3 (2000): 277-306. <http://eudml.org/doc/78494>.

@article{Angenent2000,
author = {Angenent, Sigurd B., van der Vorst, Robertus},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Morse index; elliptic system; critical point},
language = {eng},
number = {3},
pages = {277-306},
publisher = {Gauthier-Villars},
title = {A priori bounds and renormalized Morse indices of solutions of an elliptic system},
url = {http://eudml.org/doc/78494},
volume = {17},
year = {2000},
}

TY - JOUR
AU - Angenent, Sigurd B.
AU - van der Vorst, Robertus
TI - A priori bounds and renormalized Morse indices of solutions of an elliptic system
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2000
PB - Gauthier-Villars
VL - 17
IS - 3
SP - 277
EP - 306
LA - eng
KW - Morse index; elliptic system; critical point
UR - http://eudml.org/doc/78494
ER -

References

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  1. [1] Angenent S.B., van der Vorst R., A superquadratic indefinite elliptic system and its Morse-Conley-Floer homology, Preprint, 1996. 
  2. [2] Bahri A., Lions P.L., Solutions of superlinear elliptic equations and their Morse indices, Comm. Pure and Applied Mathematics45 (1992) 1205-1215. Zbl0801.35026MR1177482
  3. [3] Courant R., Hilbert D., Methoden der Mathematischen Physik I, 3rd ed., Springer, Berlin, 1968. Zbl0156.23201MR344038
  4. [4] Duistermaat J.J., On the Morse index in the calculus of variations, Adv. in Math.21 (1976) 173-195. Zbl0361.49026MR649277
  5. [5] Riesz F., Sz.-Nagy B., Functional Analysis, Frederick Ungar Publishing, New York, 1955. Zbl0732.47001MR71727
  6. [6] Robbin J., Salamon D.A., The spectral flow and the Maslov index, Bull. London Math. Soc.27 (1995) 1-33. Zbl0859.58025MR1331677
  7. [7] Stein E.M., Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970. Zbl0207.13501MR290095
  8. [8] Yang X.-F., Nodal sets and Morse indices of solutions of superlinear elliptic equations, Preprint, 1997. 

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