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 , where the existence of k + 1 solutions was proven.
© 1993 Southwest Texas State University
Castro, Alfonso and Gadam, Sudhasree, "The Lazer Mckenna Conjecture for Radial Solutions in the RN Ball" (1993). All HMC Faculty Publications and Research. 472.