Article - postprint
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.
© 1994 Society for Industrial and Applied Mathematics
Castro, Alfonso and Cossio, Jorge, "Multiple Solutions for a Nonlinear Dirichlet Problem" (1994). All HMC Faculty Publications and Research. 1165.