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Blow-up phenomena for the equivariant Yamabe equation on manifolds with boundary
- Ho, Pak Tung;
- Shin, Jinwoo
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0초록
In this paper, we consider the compactness of the solutions to the equivariant Yamabe equation on manifolds with boundary. We construct a smooth counterexample showing that the compactness of the set of "lower energy" solutions to the equivariant Yamabe equation fails when the dimension of the manifold is not less than 25.
키워드
CONSTANT SCALAR CURVATURE; MEAN-CURVATURE; CONFORMAL DEFORMATION; COMPACTNESS THEOREM; PRESCRIBED SCALAR; FLAT METRICS; EXISTENCE; NONCOMPACTNESS
- 제목
- Blow-up phenomena for the equivariant Yamabe equation on manifolds with boundary
- 저자
- Ho, Pak Tung; Shin, Jinwoo
- 발행일
- 2025-12
- 유형
- Article
- 권
- 112
- 호
- 6