Volume 10, Number 3, Fall 2002
An ODE Approach for ΔU + λUp - U-γ= 0 in RN; γ∈(0, 1), P > 0
Abstract. The equation Δu + λup - u-γ= 0 governs
various phenomena in physics. When the domain in which the
Dirichlet problem is posed is a ball and the second member is an
increasing function of u, the solutions are radially symmetric.
That is why we consider a corresponding ODE problem. For
crossing solutions, unlike the cases we have come accross in the
literature , , we consider p ∈ (0, (n + 2)/(n - 2)). We
obtain unique solutions in C1(BR) (not only in C2(BR)).