Uniqueness of positive solutions to semilinear elliptic equations with double power nonlinearities

Abstract

We consider semilinear elliptic equations with double power nonlineaities. The condition to assure the existence of positive solutions is well-known. In the present paper, we remark that the additional condition to assure uniqueness proposed by Ouyang and Shi is unnecessary.

Cited by in corpus (3)

• Existence and uniqueness conditions of positive solutions to semilinear elliptic equations with double power nonlinearities
• Classification of double power nonlinear functions
• On the maximum value of ground states for the scalar field equation with double power nonlinearity