Uniqueness of Nonnegative Solutions for a Semipositone Problem with Concave Nonlinearity

Authors

Alfonso Castro, Harvey Mudd CollegeFollow
M. Hassanpour, University of North Texas
Ratnasingham Shivaji, Mississippi State University

Document Type

Article

Publication Date

1995

Abstract

We study a semilinear Dirichlet problem where the nonlinearlity is monotone, negative at zero (semipositone), and concave. We assume that the outer boundary of the region is convex and show that for large values of a parameter there can be only one non-negative solution. We show that such a solution is positive in the region.

Rights Information

© 1995 Marcel Dekker

DOI

10.1080/03605309508821157

Recommended Citation

Castro, Alfonso; Hassanpour, M.; and Shivaji, Ratnasingham, "Uniqueness of Nonnegative Solutions for a Semipositone Problem with Concave Nonlinearity" (1995). All HMC Faculty Publications and Research. 501.
https://scholarship.claremont.edu/hmc_fac_pub/501