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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.
|Journal||Journal of Functional Analysis|
|Early online date||9 Apr 2020|
|Publication status||Published - 1 Oct 2020|
- Bubbling analysis
- Critical Sobolev exponent
- Non-degeneracy of entire solutions
- Pohozaev identity
ASJC Scopus subject areas
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Concentration phenomena in nonlinear analysis
Engineering and Physical Sciences Research Council
27/04/20 → 31/03/23
Project: Research council