Document Type
Article
Department
Mathematics (HMC)
Publication Date
11-1994
Abstract
The authors prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. Extensive use is made of Lyapunov–Schmidt reduction arguments, the mountain pass lemma, and characterizations of the local degree of critical points.
Rights Information
© 1994 Society for Industrial and Applied Mathematics
DOI
10.1137/S0036141092230106
Recommended Citation
Castro, Alfonso and Cossio, Jorge, "Multiple Solutions for a Semilinear Dirichlet Problem" (1994). All HMC Faculty Publications and Research. 478.
https://scholarship.claremont.edu/hmc_fac_pub/478
