Uniqueness of Nonnegative Solutions for a Semipositone Problem with Concave Nonlinearity
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.
© 1995 Marcel Dekker
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.