Document Type
Article
Department
Mathematics (HMC)
Publication Date
10-1993
Abstract
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.
Rights Information
© 1993 Southwest Texas State University
Recommended Citation
Castro, Alfonso and Gadam, Sudhasree, "The Lazer Mckenna Conjecture for Radial Solutions in the RN Ball" (1993). All HMC Faculty Publications and Research. 472.
https://scholarship.claremont.edu/hmc_fac_pub/472
