On Multiple Solutions of a Nonlinear Dirichlet Problem

Authors

Alfonso Castro, Harvey Mudd CollegeFollow
Jorge Cossio, Universidad Nacional de Colombia
John M. Neuberger, Mississippi State University

Document Type

Article - postprint

Department

Mathematics (HMC)

Publication Date

12-1997

Abstract

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.

Comments

Author's post-print manuscript available for download.

For the publisher's PDF, please visit http://dx.doi.org/10.1016/S0362-546X(96)00240-4.

Rights Information

© 1997 Elsevier

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1016/S0362-546X(96)00240-4

Recommended Citation

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.