We consider the following prescribed scalar curvature equations in RN −Δu=K(|y|)u2⁎−1,u>0inRN,u∈D1,2(RN), where K(r) is a positive function, [Formula presented]. We first prove a non-degeneracy result for the positive multi-bubbling solutions constructed in  by using the local Pohozaev identities. Then we use this non-degeneracy result to glue together bubbles with different concentration rate to obtain new solutions.
- Bubbling analysis
- Critical Sobolev exponent
- Non-degeneracy of entire solutions
- Pohozaev identity
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