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- Lee, Youngae
- Nonlinear Analysis Lab.
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Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data
- Author(s)
- Bartolucci, Daniele, Jevnikar, Aleks, Lee, Youngae, Yang, Wen
- Issued Date
- 2020-07
- Citation
- JOURNAL OF DIFFERENTIAL EQUATIONS, v.269, no.3, pp.2057 - 2090
- Abstract
- We are concerned with the mean field equation with singular data on bounded domains. By assuming a singular point to be a critical point of the 1-vortex Kirchhoff-Routh function, we prove local uniqueness and non-degeneracy of bubbling solutions blowing up at a singular point. The proof is based on sharp estimates for bubbling solutions of singular mean field equations and a suitably defined Pohozaev-type identity.
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- ISSN
- 0022-0396
- Keyword (Author)
- Mean field equations, Uniqueness, Non-degeneracy, Blow up solutions, Singular data
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