Article - postprint
We 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. We also prove that if the region is a ball the semilinear elliptic problem has two solutions that change sign and are nonradial.
© 1997 Elsevier
Castro, Alfonso, Jorge Cossio and John M. Neuberger. “On multiple solutions of a nonlinear Dirichlet problem”, Nonlinear Analysis TMA, Vol.30, No. 6 (1997), pp. 3657-3662.