Escobar type Theorem for fully nonlinear Yamabe problem with boundary.
Publication details: Rio de Janeiro: IMPA, 2015.Description: video onlineSubject(s): Online resources:
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In this talk we extend Escobar's classification result of the Yamabe Problem with boundary to elliptic fully nonlinear conformal equations on certain subdomains of the sphere with prescribed constant mean curvature on its boundary. Such subdomains are the hemisphere (or a geodesic ball on $\mathbb{S}^n$) with prescribed constant mean curvature on its boundary, and annular domains with minimal boundary .
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In this talk we extend Escobar's classification result of the Yamabe Problem with boundary to elliptic fully nonlinear conformal equations on certain subdomains of the sphere with prescribed constant mean curvature on its boundary. Such subdomains are the hemisphere (or a geodesic ball on $\mathbb{S}^n$) with prescribed constant mean curvature on its boundary, and annular domains with minimal boundary .
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