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On perturbations of the fractional Yamabe problem
- Authors
- Choi, Woocheol; Kim, Seunghyeok
- Issue Date
- Jan-2017
- Publisher
- SPRINGER HEIDELBERG
- Citation
- CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v.56, no.1, pp.1 - 46
- Indexed
- SCIE
SCOPUS
- Volume
- 56
- Number
- 1
- Start Page
- 1
- End Page
- 46
- ISSN
- 0944-2669
- Abstract
- The fractional Yamabe problem, proposed by Gonzalez and Qing (Analysis PDE 6: 1535-1576, 2013), is a geometric question which concerns the existence of metrics with constant fractional scalar curvature. It extends the phenomena which were discovered in the classical Yamabe problem and the boundary Yamabe problem to the realm of nonlocal conformally invariant operators. We investigate a non-compactness property of the fractional Yamabe problem by constructing bubbling solutions to its small perturbations.
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Related Researcher
- Kim, Seung hyeok
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)