Infinitely many radial solutions of an elliptic system

D. Terman

Annales de l'I.H.P. Analyse non linéaire (1987)

  • Volume: 4, Issue: 6, page 549-604
  • ISSN: 0294-1449

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Terman, D.. "Infinitely many radial solutions of an elliptic system." Annales de l'I.H.P. Analyse non linéaire 4.6 (1987): 549-604. <http://eudml.org/doc/78143>.

@article{Terman1987,
author = {Terman, D.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {existence; infinitely many radial solutions; winding number; perturbed problem; a priori estimates},
language = {eng},
number = {6},
pages = {549-604},
publisher = {Gauthier-Villars},
title = {Infinitely many radial solutions of an elliptic system},
url = {http://eudml.org/doc/78143},
volume = {4},
year = {1987},
}

TY - JOUR
AU - Terman, D.
TI - Infinitely many radial solutions of an elliptic system
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1987
PB - Gauthier-Villars
VL - 4
IS - 6
SP - 549
EP - 604
LA - eng
KW - existence; infinitely many radial solutions; winding number; perturbed problem; a priori estimates
UR - http://eudml.org/doc/78143
ER -

References

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  1. [1] F.V. Atkinson and L.A. Peletier, Ground States of -Δu=f(u) and the Emden-Fowler Equation, Arch. Rational Mech. Anal. (to appear). Zbl0606.35029MR823114
  2. [2] H. Berestycki and P.L. Lions, Nonlinear Scalar Field Equations: I-Existence of a Ground State, Arch. Rational Mech. Anal., Vol. 84, 1983, pp. 313-345. See also II. Existence of Infinitely Many Solutions, Arch. Rat. Mech. Anal., Vol. 84, 1983, pp. 347-376. Zbl0533.35029MR695535
  3. [3] M.S. Berger, On the Existence and Structure of Stationary States for a Nonlinear Klein-Gordon Equation. J. Funct. Anal., Vol. 9, 1972, pp. 249-261. Zbl0224.35061MR299966
  4. [4] H. Brezis and E.H. Lieb, Minimum Action Solutions of Some Vector Field Equations, Commun. Math. Phys., Vol. 96, 1984, pp. 97-113. Zbl0579.35025MR765961
  5. [5] C. Conley, Isolated Invariant Sets and the Morse Index, Conference Board of the Mathematical Sciences, No. 38, American Mathematical Society, Providence, R.I., 1978. Zbl0397.34056MR511133
  6. [6] P. Hartman, Ordinary Differential Equations, Second Edition, Birkhauser, Boston, 1982. Zbl0476.34002MR658490
  7. [7] C. Jones and T. Küpper, On the Infinitely Many Solutions of a Semilibear Elliptic Equation, preprint. Zbl0606.35032
  8. [8] W.A. Strauss, Existence of Solitary Waves in Higer Dimensions, Comm. Math. Phys., Vol. 55, 1977, pp. 149-162. Zbl0356.35028MR454365
  9. [9] D. Terman, Traveling Wave Solutions of a Gradient System: Solutions with a Prescribed Winding Number. II, Submitted to Trans. of the American Mathematical Society. Zbl0681.35046
  10. [10] D. Terman, Radial Solutions of an Elliptic System: Solutions with a Prescribed Winding Number. Zbl0719.35023

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