Infinitely many radial solutions of an elliptic system
Annales de l'I.H.P. Analyse non linéaire, Volume 4 (1987) no. 6, p. 549-604
@article{AIHPC_1987__4_6_549_0,
author = {Terman, D.},
title = {Infinitely many radial solutions of an elliptic system},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
publisher = {Gauthier-Villars},
volume = {4},
number = {6},
year = {1987},
pages = {549-604},
zbl = {0652.35030},
mrnumber = {929475},
language = {en},
url = {http://www.numdam.org/item/AIHPC_1987__4_6_549_0}
}

Terman, D. Infinitely many radial solutions of an elliptic system. Annales de l'I.H.P. Analyse non linéaire, Volume 4 (1987) no. 6, pp. 549-604. http://www.numdam.org/item/AIHPC_1987__4_6_549_0/

[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). | MR 823114 | Zbl 0606.35029

[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. | MR 695535 | Zbl 0556.35046 | Zbl 0533.35029

[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. | MR 299966 | Zbl 0224.35061

[4] H. Brezis and E.H. Lieb, Minimum Action Solutions of Some Vector Field Equations, Commun. Math. Phys., Vol. 96, 1984, pp. 97-113. | MR 765961 | Zbl 0579.35025

[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. | MR 511133 | Zbl 0397.34056

[6] P. Hartman, Ordinary Differential Equations, Second Edition, Birkhauser, Boston, 1982. | MR 658490 | Zbl 0476.34002

[7] C. Jones and T. Küpper, On the Infinitely Many Solutions of a Semilibear Elliptic Equation, preprint. | Zbl 0606.35032

[8] W.A. Strauss, Existence of Solitary Waves in Higer Dimensions, Comm. Math. Phys., Vol. 55, 1977, pp. 149-162. | MR 454365 | Zbl 0356.35028

[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. | Zbl 0681.35046

[10] D. Terman, Radial Solutions of an Elliptic System: Solutions with a Prescribed Winding Number. | Zbl 0719.35023