Castro, AlfonsoGadam, Sudhasree2018-07-162018-07-161993-10-30Castro, 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. 1-6.1072-6691https://hdl.handle.net/10877/7312Partially supported by NSF grant DMS-9246380.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.Text6 pages1 file (.pdf)enAttribution 4.0 InternationalLazer-McKenna conjectureRadial solutionsJumping nonlinearitiesArticle