Geodesic
The Lazer-McKenna conjecture for radial solutions in the $\Bbb R^N$ ball
Electronic Journal of Differential Equations, Tome 1993 (1993) no. 7.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: When the range of the derivative of the nonlinearity contains the first k eigenvalues of the linear part and a certain parameter is large, we establish the existence of 2k radial solutions to a semilinear boundary value problem. This proves the Lazer McKenna conjecture for radial solutions. Our results supplement those in [5], where the existence of k + 1 solutions was proven.
Classification : 34B15, 35J65
Keywords: lazer-mckenna conjecture, radial solutions, jumping nonlinearities 
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     author = {Castro, Alfonso and Gadam, Sudhasree},
     title = {The {Lazer-McKenna} conjecture for radial solutions in the $\Bbb R^N$ ball},
     journal = {Electronic Journal of Differential Equations},
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     volume = {1993},
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     year = {1993},
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Castro, Alfonso; Gadam, Sudhasree. The Lazer-McKenna conjecture for radial solutions in the $\Bbb R^N$ ball. Electronic Journal of Differential Equations, Tome 1993 (1993) no. 7. http://geodesic.mathdoc.fr/item/EJDE_1993__1993_7_a0/