| Abstract: |
| We are concerned with radial solutions of a Henon equation with a critical exponent on annuli.
For each n this problem has exactly two radial solutions with n nodal domains. We obtain an exact Morse index of these solutions if the radius of the inner hole is small. Various estimates about Morse index are also obtained for an arbitrary annulus. In a certain assumption we can obtain an exact Morse index of positive (and negative) solutions on all annuli. The proof is based on a combination of ODE techniques and variational methods. |
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