Existence and uniqueness conditions of positive solutions to semilinear elliptic equations with double power nonlinearities

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

In this article we find the equivalent conditions to assure the existence and
uniqueness of positive solutions to semilinear elliptic equations wih double
power nonlinearities. As a bonus, we give a simpler proof of our former result
that the uniqueness condition comes from the existence condition.

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