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Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation (after Chen and Wu)
- Ho, Pak Tung;
- Shin, Jinwoo
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1초록
In this paper, the compactness of the solutions to the constant scalar curvature and constant boundary mean curvature equation is considered. Chen and Wu constructed a smooth counterexample showing that the compactness of the set of "lower energy" solutions to the above equation fails when the dimension of the manifold is not less than 62. We prove that a smooth counterexample still exists when the dimension of the manifold is not less than 35.
키워드
Yamabe problem; Compactness; Manifolds with boundary; YAMABE PROBLEM; FLAT METRICS; COMPACTNESS THEOREM; CONFORMAL DEFORMATION; EXISTENCE THEOREM; MANIFOLDS
- 제목
- Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation (after Chen and Wu)
- 저자
- Ho, Pak Tung; Shin, Jinwoo
- 발행일
- 2025-09
- 유형
- Article
- 권
- 32
- 호
- 6