The Lazer Mckenna Conjecture for Radial Solutions in the R(N) Ball
Date
1993-10-30
Authors
Castro, Alfonso
Gadam, Sudhasree
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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 were proven.
Description
Partially supported by NSF grant DMS-9246380.
Keywords
Lazer-McKenna conjecture, Radial solutions, Jumping nonlinearities
Citation
Castro, A., & Gadam, S. (1993). The Lazer Mckenna Conjecture for Radial Solutions in the R(N) Ball. <i>Electronic Journal of Differential Equations, 1993</i>(07), pp. 1-6.
Rights
Attribution 4.0 International