| Abstract: |
| We study the existence and multiplicity of radial ground states for the scalar curvature equation. We consider a positive curvature K, which has a unique critical point, corresponding to a minimum, and it is bounded above and below by two positive constants, C and c, respectively. We provide a smallness computable condition on the ratio C/c which guarantees the existence of a large number of ground states with fast decay. We adopt a dynamical approach and develop a constructive argument based on some elementary tools of phase plane analysis. |
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