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Some results on the weighted Yamabe problem with or without boundary
- Ho, Pak Tung;
- Shin, Jinwoo;
- Yan, Zetian
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1초록
Let (Mn, g, e-phi dVg, e-phi dAg, m) be a compact smooth metric measure space with boundary with n 3. In this article, we consider several Yamabe-type problems on a compact smooth metric measure space with or without boundary: uniqueness problem on the weighted Yamabe problem with boundary, characterization of the weighted Yamabe solitons with boundary and the existence of positive minimizers in the weighted Escobar quotient.
키워드
Smooth metric measure space; Weighted Yamabe problem; Weighted Yamabe flow; DIFFERENTIAL-EQUATIONS; CONFORMAL DEFORMATION; MEAN-CURVATURE; SCALAR; MANIFOLDS
- 제목
- Some results on the weighted Yamabe problem with or without boundary
- 저자
- Ho, Pak Tung; Shin, Jinwoo; Yan, Zetian
- 발행일
- 2025-08
- 유형
- Article
- 권
- 203