Boundary operators associated to the \(\sigma_{k}\)-curvature (Q1785781)
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| Language | Label | Description | Also known as |
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| English | Boundary operators associated to the \(\sigma_{k}\)-curvature |
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Boundary operators associated to the \(\sigma_{k}\)-curvature (English)
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1 October 2018
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The paper under review is concerned with the study of conformal deformation problems on manifolds. The authors prove a Dirichlet principle when the induced metric on the boundary is fixed. It is also established an Obata-type theorem on the upper hemisphere. A key tool in the proofs is the use of some related conformally covariant multilinear operators.
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conformally covariant operator
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boundary operator
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\(\sigma_k\)-curvature
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Sobolev trace inequality
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fully nonlinear PDE
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