| Abstract: |
| We study radial solutions of a semilinear elliptic equation under rather general growth conditions on the nonlinear term.
We construct a radial singular solution and study the intersection number between the singular solution and a regular solution.
An application to bifurcation problems of elliptic Dirichlet problems is given.
To this end, we derive a certain limit equation from the original equation at infinity, using a generalized similarity transformation.
We see by a certain transformation that all the limit equations can be reduced into two typical cases, i.e., the pure power nonlinearity and the exponential nonlinearity. |
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