Document Type
Article
Department
Mathematics (HMC)
Publication Date
Fall 1997
Abstract
We show that a superlinear boundary value problem has at least three nontrivial solutions. A pair are of one sign (positive and negative, respectively), and the third solution changes sign exactly once. The critical level of the sign-changing solution is bounded below by the sum of the two lesser levels of the one-sign solutions. If nondegenerate, the one sign solutions are of Morse index 1 and the signchanging solution has Morse index 2. Our results extend and complement those of Z.Q. Wang [12].
Rights Information
© 1997 Rocky Mountain Mathematics Consortium
DOI
10.1216/rmjm/1181071858
Recommended Citation
Castro, Alfonso; Cossio, Jorge; and Neuberger, John M., "A Sign-Changing Solution for a Superlinear Dirichlet Problem" (1997). All HMC Faculty Publications and Research. 480.
https://scholarship.claremont.edu/hmc_fac_pub/480
